What is the Least Common Multiple of 48900 and 48916?

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 48900 and 48916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48900 and 48916, than apply into the LCM equation.

GCF(48900,48916) = 4
LCM(48900,48916) = ( 48900 × 48916) / 4
LCM(48900,48916) = 2391992400 / 4
LCM(48900,48916) = 597998100

Least Common Multiple (LCM) of 48900 and 48916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48900 and 48916. First we will calculate the prime factors of 48900 and 48916.

Prime Factorization of 48900

Prime Factorization of 48916

Now multiplying the highest exponent prime factors to calculate the LCM of 48900 and 48916.

LCM(48900,48916) = 2² × 3¹ × 5² × 163¹ × 7¹ × 1747¹
LCM(48900,48916) = 597998100