HowManyNumbers Logo

Least Common Multiple (LCM) of 84 and 100

The least common multiple (LCM) of 84 and 100 is 2100.

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 100?

First, calculate the GCD of 84 and 100 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 84 ÷ 100 = 0 remainder 84
2 100 ÷ 84 = 1 remainder 16
3 84 ÷ 16 = 5 remainder 4
4 16 ÷ 4 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
148 and 233404
34 and 1121904
151 and 527852
101 and 969696
35 and 1501050

Try Calculating LCM of Other Numbers







Related Calculators