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Least Common Multiple (LCM) of 10 and 145

The least common multiple (LCM) of 10 and 145 is 290.

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 10 and 145?

First, calculate the GCD of 10 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 10 ÷ 145 = 0 remainder 10
2 145 ÷ 10 = 14 remainder 5
3 10 ÷ 5 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
163 and 6610758
154 and 19414938
160 and 12720320
86 and 1119546
191 and 7213752

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