What is the Least Common Multiple of 57645 and 57664?

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 57645 and 57664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57645 and 57664, than apply into the LCM equation.

GCF(57645,57664) = 1
LCM(57645,57664) = ( 57645 × 57664) / 1
LCM(57645,57664) = 3324041280 / 1
LCM(57645,57664) = 3324041280

Least Common Multiple (LCM) of 57645 and 57664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57645 and 57664. First we will calculate the prime factors of 57645 and 57664.

Prime Factorization of 57645

Prime Factorization of 57664

Now multiplying the highest exponent prime factors to calculate the LCM of 57645 and 57664.

LCM(57645,57664) = 3³ × 5¹ × 7¹ × 61¹ × 2⁶ × 17¹ × 53¹
LCM(57645,57664) = 3324041280