What is the Least Common Multiple of 48900 and 48913?

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 48913 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 48913, than apply into the LCM equation.

GCF(48900,48913) = 1
LCM(48900,48913) = ( 48900 × 48913) / 1
LCM(48900,48913) = 2391845700 / 1
LCM(48900,48913) = 2391845700

Least Common Multiple (LCM) of 48900 and 48913 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48900 and 48913. First we will calculate the prime factors of 48900 and 48913.

Prime Factorization of 48900

Prime Factorization of 48913

Now multiplying the highest exponent prime factors to calculate the LCM of 48900 and 48913.

LCM(48900,48913) = 2² × 3¹ × 5² × 163¹ × 41¹ × 1193¹
LCM(48900,48913) = 2391845700