HowManyNumbers Logo

Least Common Multiple (LCM) of 174 and 19

The least common multiple (LCM) of 174 and 19 is 3306.

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 19?

First, calculate the GCD of 174 and 19 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 174 ÷ 19 = 9 remainder 3
2 19 ÷ 3 = 6 remainder 1
3 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
113 and 14416272
179 and 12622554
40 and 1997960
62 and 1277874
28 and 26364

Try Calculating LCM of Other Numbers







Related Calculators