HowManyNumbers Logo

Least Common Multiple (LCM) of 164 and 85

The least common multiple (LCM) of 164 and 85 is 13940.

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 164 and 85?

First, calculate the GCD of 164 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 164 ÷ 85 = 1 remainder 79
2 85 ÷ 79 = 1 remainder 6
3 79 ÷ 6 = 13 remainder 1
4 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
92 and 301380
192 and 254800
54 and 501350
136 and 10314008
156 and 1431716

Try Calculating LCM of Other Numbers







Related Calculators