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Least Common Multiple (LCM) of 37 and 11

The least common multiple (LCM) of 37 and 11 is 407.

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 37 and 11?

First, calculate the GCD of 37 and 11 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 37 ÷ 11 = 3 remainder 4
2 11 ÷ 4 = 2 remainder 3
3 4 ÷ 3 = 1 remainder 1
4 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
141 and 507050
67 and 654355
165 and 13321945
23 and 1102530
19 and 621178

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