HowManyNumbers Logo

Least Common Multiple (LCM) of 79 and 146

The least common multiple (LCM) of 79 and 146 is 11534.

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 79 and 146?

First, calculate the GCD of 79 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 79 ÷ 146 = 0 remainder 79
2 146 ÷ 79 = 1 remainder 67
3 79 ÷ 67 = 1 remainder 12
4 67 ÷ 12 = 5 remainder 7
5 12 ÷ 7 = 1 remainder 5
6 7 ÷ 5 = 1 remainder 2
7 5 ÷ 2 = 2 remainder 1
8 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
132 and 1645412
163 and 17328199
136 and 14920264
35 and 1214235
49 and 1498

Try Calculating LCM of Other Numbers







Related Calculators