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Least Common Multiple (LCM) of 170 and 91

The least common multiple (LCM) of 170 and 91 is 15470.

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 170 and 91?

First, calculate the GCD of 170 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 170 ÷ 91 = 1 remainder 79
2 91 ÷ 79 = 1 remainder 12
3 79 ÷ 12 = 6 remainder 7
4 12 ÷ 7 = 1 remainder 5
5 7 ÷ 5 = 1 remainder 2
6 5 ÷ 2 = 2 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
122 and 172074
16 and 38304
76 and 1282432
68 and 211428
107 and 19420758

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