What is the Least Common Multiple of 56616 and 56624?

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 56616 and 56624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56616 and 56624, than apply into the LCM equation.

GCF(56616,56624) = 8
LCM(56616,56624) = ( 56616 × 56624) / 8
LCM(56616,56624) = 3205824384 / 8
LCM(56616,56624) = 400728048

Least Common Multiple (LCM) of 56616 and 56624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56616 and 56624. First we will calculate the prime factors of 56616 and 56624.

Prime Factorization of 56616

Prime Factorization of 56624

Now multiplying the highest exponent prime factors to calculate the LCM of 56616 and 56624.

LCM(56616,56624) = 2⁴ × 3¹ × 7¹ × 337¹ × 3539¹
LCM(56616,56624) = 400728048