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Least Common Multiple (LCM) of 66 and 90

The least common multiple (LCM) of 66 and 90 is 990.

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 66 and 90?

First, calculate the GCD of 66 and 90 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 66 ÷ 90 = 0 remainder 66
2 90 ÷ 66 = 1 remainder 24
3 66 ÷ 24 = 2 remainder 18
4 24 ÷ 18 = 1 remainder 6
5 18 ÷ 6 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
154 and 981078
137 and 14319591
11 and 32352
30 and 1462190
95 and 14413680

Try Calculating LCM of Other Numbers







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