What is the Least Common Multiple of 38624 and 38628?

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 38624 and 38628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38624 and 38628, than apply into the LCM equation.

GCF(38624,38628) = 4
LCM(38624,38628) = ( 38624 × 38628) / 4
LCM(38624,38628) = 1491967872 / 4
LCM(38624,38628) = 372991968

Least Common Multiple (LCM) of 38624 and 38628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38624 and 38628. First we will calculate the prime factors of 38624 and 38628.

Prime Factorization of 38624

Prime Factorization of 38628

Now multiplying the highest exponent prime factors to calculate the LCM of 38624 and 38628.

LCM(38624,38628) = 2⁵ × 17¹ × 71¹ × 3² × 29¹ × 37¹
LCM(38624,38628) = 372991968