What is the Least Common Multiple of 71160 and 71164?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 71160 and 71164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71160 and 71164, than apply into the LCM equation.

GCF(71160,71164) = 4
LCM(71160,71164) = ( 71160 × 71164) / 4
LCM(71160,71164) = 5064030240 / 4
LCM(71160,71164) = 1266007560

Least Common Multiple (LCM) of 71160 and 71164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71160 and 71164. First we will calculate the prime factors of 71160 and 71164.

Prime Factorization of 71160

Prime Factorization of 71164

Now multiplying the highest exponent prime factors to calculate the LCM of 71160 and 71164.

LCM(71160,71164) = 2³ × 3¹ × 5¹ × 593¹ × 17791¹
LCM(71160,71164) = 1266007560