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Least Common Multiple (LCM) of 145 and 152

The least common multiple (LCM) of 145 and 152 is 22040.

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 145 and 152?

First, calculate the GCD of 145 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 145 ÷ 152 = 0 remainder 145
2 152 ÷ 145 = 1 remainder 7
3 145 ÷ 7 = 20 remainder 5
4 7 ÷ 5 = 1 remainder 2
5 5 ÷ 2 = 2 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
75 and 842100
172 and 9917028
44 and 1022244
167 and 13222044
25 and 1042600

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