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Least Common Multiple (LCM) of 45 and 34

The least common multiple (LCM) of 45 and 34 is 1530.

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 45 and 34?

First, calculate the GCD of 45 and 34 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 45 ÷ 34 = 1 remainder 11
2 34 ÷ 11 = 3 remainder 1
3 11 ÷ 1 = 11 remainder 0

Examples of LCM Calculations

NumbersLCM
64 and 36576
17 and 671139
131 and 7910349
84 and 1666972
157 and 284396

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