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Least Common Multiple (LCM) of 50 and 37

The least common multiple (LCM) of 50 and 37 is 1850.

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 50 and 37?

First, calculate the GCD of 50 and 37 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 50 ÷ 37 = 1 remainder 13
2 37 ÷ 13 = 2 remainder 11
3 13 ÷ 11 = 1 remainder 2
4 11 ÷ 2 = 5 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
111 and 556105
61 and 1458845
79 and 1209480
194 and 15930846
40 and 993960

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