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Least Common Multiple (LCM) of 100 and 30

The least common multiple (LCM) of 100 and 30 is 300.

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 100 and 30?

First, calculate the GCD of 100 and 30 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 100 ÷ 30 = 3 remainder 10
2 30 ÷ 10 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
176 and 1652640
145 and 10290
170 and 20340
124 and 19924676
75 and 541350

Try Calculating LCM of Other Numbers







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