What is the Least Common Multiple of 62624 and 62628?

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 62624 and 62628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62624 and 62628, than apply into the LCM equation.

GCF(62624,62628) = 4
LCM(62624,62628) = ( 62624 × 62628) / 4
LCM(62624,62628) = 3922015872 / 4
LCM(62624,62628) = 980503968

Least Common Multiple (LCM) of 62624 and 62628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62624 and 62628. First we will calculate the prime factors of 62624 and 62628.

Prime Factorization of 62624

Prime Factorization of 62628

Now multiplying the highest exponent prime factors to calculate the LCM of 62624 and 62628.

LCM(62624,62628) = 2⁵ × 19¹ × 103¹ × 3¹ × 17¹ × 307¹
LCM(62624,62628) = 980503968