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Least Common Multiple (LCM) of 150 and 46

The least common multiple (LCM) of 150 and 46 is 3450.

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 150 and 46?

First, calculate the GCD of 150 and 46 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 150 ÷ 46 = 3 remainder 12
2 46 ÷ 12 = 3 remainder 10
3 12 ÷ 10 = 1 remainder 2
4 10 ÷ 2 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
63 and 825166
17 and 1252125
149 and 619089
109 and 19921691
95 and 18317385

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