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Least Common Multiple (LCM) of 16 and 43

The least common multiple (LCM) of 16 and 43 is 688.

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 16 and 43?

First, calculate the GCD of 16 and 43 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 16 ÷ 43 = 0 remainder 16
2 43 ÷ 16 = 2 remainder 11
3 16 ÷ 11 = 1 remainder 5
4 11 ÷ 5 = 2 remainder 1
5 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
34 and 1655610
12 and 1560
124 and 682108
29 and 401160
101 and 494949

Try Calculating LCM of Other Numbers







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