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Least Common Multiple (LCM) of 91 and 157

The least common multiple (LCM) of 91 and 157 is 14287.

What is the Least Common Multiple (LCM)?

The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.

Formula for LCM

The LCM of two numbers can be calculated using their GCD:

LCM(a, b) = |a × b| ÷ GCD(a, b)

How to Calculate the LCM of 91 and 157?

First, calculate the GCD of 91 and 157 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 91 ÷ 157 = 0 remainder 91
2 157 ÷ 91 = 1 remainder 66
3 91 ÷ 66 = 1 remainder 25
4 66 ÷ 25 = 2 remainder 16
5 25 ÷ 16 = 1 remainder 9
6 16 ÷ 9 = 1 remainder 7
7 9 ÷ 7 = 1 remainder 2
8 7 ÷ 2 = 3 remainder 1
9 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
148 and 16925012
47 and 934371
194 and 16732398
110 and 15116610
21 and 1703570

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