HowManyNumbers Logo

Least Common Multiple (LCM) of 73 and 137

The least common multiple (LCM) of 73 and 137 is 10001.

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 73 and 137?

First, calculate the GCD of 73 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 73 ÷ 137 = 0 remainder 73
2 137 ÷ 73 = 1 remainder 64
3 73 ÷ 64 = 1 remainder 9
4 64 ÷ 9 = 7 remainder 1
5 9 ÷ 1 = 9 remainder 0

Examples of LCM Calculations

NumbersLCM
111 and 171887
157 and 17227004
88 and 575016
154 and 233542
99 and 15515345

Try Calculating LCM of Other Numbers







Related Calculators