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Least Common Multiple (LCM) of 190 and 157

The least common multiple (LCM) of 190 and 157 is 29830.

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 190 and 157?

First, calculate the GCD of 190 and 157 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 190 ÷ 157 = 1 remainder 33
2 157 ÷ 33 = 4 remainder 25
3 33 ÷ 25 = 1 remainder 8
4 25 ÷ 8 = 3 remainder 1
5 8 ÷ 1 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
44 and 52572
56 and 98392
11 and 13143
166 and 416806
150 and 866450

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