HowManyNumbers Logo

Least Common Multiple (LCM) of 83 and 88

The least common multiple (LCM) of 83 and 88 is 7304.

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 83 and 88?

First, calculate the GCD of 83 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 83 ÷ 88 = 0 remainder 83
2 88 ÷ 83 = 1 remainder 5
3 83 ÷ 5 = 16 remainder 3
4 5 ÷ 3 = 1 remainder 2
5 3 ÷ 2 = 1 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
187 and 10018700
109 and 12613734
128 and 361152
119 and 13015470
73 and 745402

Try Calculating LCM of Other Numbers







Related Calculators