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Least Common Multiple (LCM) of 164 and 90

The least common multiple (LCM) of 164 and 90 is 7380.

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 164 and 90?

First, calculate the GCD of 164 and 90 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 164 ÷ 90 = 1 remainder 74
2 90 ÷ 74 = 1 remainder 16
3 74 ÷ 16 = 4 remainder 10
4 16 ÷ 10 = 1 remainder 6
5 10 ÷ 6 = 1 remainder 4
6 6 ÷ 4 = 1 remainder 2
7 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
149 and 149149
156 and 826396
198 and 18818612
19 and 2003800
64 and 1001600

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