HowManyNumbers Logo

Least Common Multiple (LCM) of 82 and 74

The least common multiple (LCM) of 82 and 74 is 3034.

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 82 and 74?

First, calculate the GCD of 82 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 82 ÷ 74 = 1 remainder 8
2 74 ÷ 8 = 9 remainder 2
3 8 ÷ 2 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
121 and 991089
127 and 9111557
55 and 18810340
139 and 16823352
142 and 322272

Try Calculating LCM of Other Numbers







Related Calculators