HowManyNumbers Logo

Least Common Multiple (LCM) of 161 and 102

The least common multiple (LCM) of 161 and 102 is 16422.

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 161 and 102?

First, calculate the GCD of 161 and 102 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 161 ÷ 102 = 1 remainder 59
2 102 ÷ 59 = 1 remainder 43
3 59 ÷ 43 = 1 remainder 16
4 43 ÷ 16 = 2 remainder 11
5 16 ÷ 11 = 1 remainder 5
6 11 ÷ 5 = 2 remainder 1
7 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
161 and 9014490
180 and 1245580
160 and 923680
66 and 1773894
197 and 152955

Try Calculating LCM of Other Numbers







Related Calculators