HowManyNumbers Logo

Least Common Multiple (LCM) of 84 and 68

The least common multiple (LCM) of 84 and 68 is 1428.

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 68?

First, calculate the GCD of 84 and 68 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 84 ÷ 68 = 1 remainder 16
2 68 ÷ 16 = 4 remainder 4
3 16 ÷ 4 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
192 and 15960
139 and 11515985
60 and 774620
11 and 20220
141 and 14320163

Try Calculating LCM of Other Numbers







Related Calculators