HowManyNumbers Logo

Least Common Multiple (LCM) of 137 and 62

The least common multiple (LCM) of 137 and 62 is 8494.

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 137 and 62?

First, calculate the GCD of 137 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 137 ÷ 62 = 2 remainder 13
2 62 ÷ 13 = 4 remainder 10
3 13 ÷ 10 = 1 remainder 3
4 10 ÷ 3 = 3 remainder 1
5 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
38 and 1816878
106 and 864558
77 and 453465
69 and 312139
85 and 1652805

Try Calculating LCM of Other Numbers







Related Calculators