HowManyNumbers Logo

Least Common Multiple (LCM) of 148 and 170

The least common multiple (LCM) of 148 and 170 is 12580.

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 148 and 170?

First, calculate the GCD of 148 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 148 ÷ 170 = 0 remainder 148
2 170 ÷ 148 = 1 remainder 22
3 148 ÷ 22 = 6 remainder 16
4 22 ÷ 16 = 1 remainder 6
5 16 ÷ 6 = 2 remainder 4
6 6 ÷ 4 = 1 remainder 2
7 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
192 and 625952
117 and 54702
12 and 11132
113 and 262938
95 and 11811210

Try Calculating LCM of Other Numbers







Related Calculators