HowManyNumbers Logo

Least Common Multiple (LCM) of 84 and 52

The least common multiple (LCM) of 84 and 52 is 1092.

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 84 and 52?

First, calculate the GCD of 84 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 84 ÷ 52 = 1 remainder 32
2 52 ÷ 32 = 1 remainder 20
3 32 ÷ 20 = 1 remainder 12
4 20 ÷ 12 = 1 remainder 8
5 12 ÷ 8 = 1 remainder 4
6 8 ÷ 4 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
52 and 30780
87 and 12711049
106 and 1005300
144 and 1657920
163 and 18830644

Try Calculating LCM of Other Numbers







Related Calculators