What is the Least Common Multiple of 38624 and 38632?

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 38632 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 38632, than apply into the LCM equation.

GCF(38624,38632) = 8
LCM(38624,38632) = ( 38624 × 38632) / 8
LCM(38624,38632) = 1492122368 / 8
LCM(38624,38632) = 186515296

Least Common Multiple (LCM) of 38624 and 38632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38624 and 38632. First we will calculate the prime factors of 38624 and 38632.

Prime Factorization of 38624

Prime Factorization of 38632

Now multiplying the highest exponent prime factors to calculate the LCM of 38624 and 38632.

LCM(38624,38632) = 2⁵ × 17¹ × 71¹ × 11¹ × 439¹
LCM(38624,38632) = 186515296