What is the Least Common Multiple of 56624 and 56628?

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 56624 and 56628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56624 and 56628, than apply into the LCM equation.

GCF(56624,56628) = 4
LCM(56624,56628) = ( 56624 × 56628) / 4
LCM(56624,56628) = 3206503872 / 4
LCM(56624,56628) = 801625968

Least Common Multiple (LCM) of 56624 and 56628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56624 and 56628. First we will calculate the prime factors of 56624 and 56628.

Prime Factorization of 56624

Prime Factorization of 56628

Now multiplying the highest exponent prime factors to calculate the LCM of 56624 and 56628.

LCM(56624,56628) = 2⁴ × 3539¹ × 3² × 11² × 13¹
LCM(56624,56628) = 801625968