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Least Common Multiple (LCM) of 145 and 21

The least common multiple (LCM) of 145 and 21 is 3045.

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 21?

First, calculate the GCD of 145 and 21 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 145 ÷ 21 = 6 remainder 19
2 21 ÷ 19 = 1 remainder 2
3 19 ÷ 2 = 9 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
111 and 829102
43 and 572451
17 and 42714
107 and 535671
160 and 11318080

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