HowManyNumbers Logo

Least Common Multiple (LCM) of 119 and 164

The least common multiple (LCM) of 119 and 164 is 19516.

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 119 and 164?

First, calculate the GCD of 119 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 119 ÷ 164 = 0 remainder 119
2 164 ÷ 119 = 1 remainder 45
3 119 ÷ 45 = 2 remainder 29
4 45 ÷ 29 = 1 remainder 16
5 29 ÷ 16 = 1 remainder 13
6 16 ÷ 13 = 1 remainder 3
7 13 ÷ 3 = 4 remainder 1
8 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
197 and 10921473
86 and 1867998
27 and 401080
25 and 1824550
15 and 115345

Try Calculating LCM of Other Numbers







Related Calculators