HowManyNumbers Logo

Least Common Multiple (LCM) of 86 and 102

The least common multiple (LCM) of 86 and 102 is 4386.

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 86 and 102?

First, calculate the GCD of 86 and 102 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 86 ÷ 102 = 0 remainder 86
2 102 ÷ 86 = 1 remainder 16
3 86 ÷ 16 = 5 remainder 6
4 16 ÷ 6 = 2 remainder 4
5 6 ÷ 4 = 1 remainder 2
6 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
13 and 841092
54 and 1232214
176 and 80880
137 and 141918
78 and 401560

Try Calculating LCM of Other Numbers







Related Calculators