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Least Common Multiple (LCM) of 174 and 21

The least common multiple (LCM) of 174 and 21 is 1218.

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 174 and 21?

First, calculate the GCD of 174 and 21 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 174 ÷ 21 = 8 remainder 6
2 21 ÷ 6 = 3 remainder 3
3 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
124 and 1324092
145 and 19428130
132 and 14519140
152 and 18528120
15 and 891335

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