HowManyNumbers Logo

Least Common Multiple (LCM) of 42 and 151

The least common multiple (LCM) of 42 and 151 is 6342.

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 42 and 151?

First, calculate the GCD of 42 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 42 ÷ 151 = 0 remainder 42
2 151 ÷ 42 = 3 remainder 25
3 42 ÷ 25 = 1 remainder 17
4 25 ÷ 17 = 1 remainder 8
5 17 ÷ 8 = 2 remainder 1
6 8 ÷ 1 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
118 and 10712626
24 and 1341608
164 and 1486068
185 and 6211470
120 and 90360

Try Calculating LCM of Other Numbers







Related Calculators