HowManyNumbers Logo

Least Common Multiple (LCM) of 99 and 145

The least common multiple (LCM) of 99 and 145 is 14355.

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 99 and 145?

First, calculate the GCD of 99 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 99 ÷ 145 = 0 remainder 99
2 145 ÷ 99 = 1 remainder 46
3 99 ÷ 46 = 2 remainder 7
4 46 ÷ 7 = 6 remainder 4
5 7 ÷ 4 = 1 remainder 3
6 4 ÷ 3 = 1 remainder 1
7 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
81 and 887128
86 and 1079202
166 and 16527390
138 and 17612144
168 and 1282688

Try Calculating LCM of Other Numbers







Related Calculators