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Least Common Multiple (LCM) of 16 and 167

The least common multiple (LCM) of 16 and 167 is 2672.

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 167?

First, calculate the GCD of 16 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 16 ÷ 167 = 0 remainder 16
2 167 ÷ 16 = 10 remainder 7
3 16 ÷ 7 = 2 remainder 2
4 7 ÷ 2 = 3 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
30 and 591770
77 and 44308
54 and 1638802
195 and 7715015
112 and 261456

Try Calculating LCM of Other Numbers







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