What is the Least Common Multiple of 4546 and 4564?

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 4546 and 4564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4546 and 4564, than apply into the LCM equation.

GCF(4546,4564) = 2
LCM(4546,4564) = ( 4546 × 4564) / 2
LCM(4546,4564) = 20747944 / 2
LCM(4546,4564) = 10373972

Least Common Multiple (LCM) of 4546 and 4564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4546 and 4564. First we will calculate the prime factors of 4546 and 4564.

Prime Factorization of 4546

Prime Factorization of 4564

Now multiplying the highest exponent prime factors to calculate the LCM of 4546 and 4564.

LCM(4546,4564) = 2² × 2273¹ × 7¹ × 163¹
LCM(4546,4564) = 10373972