What is the Least Common Multiple of 71652 and 71664?

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 71652 and 71664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71652 and 71664, than apply into the LCM equation.

GCF(71652,71664) = 12
LCM(71652,71664) = ( 71652 × 71664) / 12
LCM(71652,71664) = 5134868928 / 12
LCM(71652,71664) = 427905744

Least Common Multiple (LCM) of 71652 and 71664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71652 and 71664. First we will calculate the prime factors of 71652 and 71664.

Prime Factorization of 71652

Prime Factorization of 71664

Now multiplying the highest exponent prime factors to calculate the LCM of 71652 and 71664.

LCM(71652,71664) = 2⁴ × 3¹ × 7¹ × 853¹ × 1493¹
LCM(71652,71664) = 427905744