What is the Least Common Multiple of 56546 and 56564?

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 56546 and 56564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56546 and 56564, than apply into the LCM equation.

GCF(56546,56564) = 2
LCM(56546,56564) = ( 56546 × 56564) / 2
LCM(56546,56564) = 3198467944 / 2
LCM(56546,56564) = 1599233972

Least Common Multiple (LCM) of 56546 and 56564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56546 and 56564. First we will calculate the prime factors of 56546 and 56564.

Prime Factorization of 56546

Prime Factorization of 56564

Now multiplying the highest exponent prime factors to calculate the LCM of 56546 and 56564.

LCM(56546,56564) = 2² × 7² × 577¹ × 79¹ × 179¹
LCM(56546,56564) = 1599233972