What is the Least Common Multiple of 48900 and 48919?

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 48919 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 48919, than apply into the LCM equation.

GCF(48900,48919) = 1
LCM(48900,48919) = ( 48900 × 48919) / 1
LCM(48900,48919) = 2392139100 / 1
LCM(48900,48919) = 2392139100

Least Common Multiple (LCM) of 48900 and 48919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48900 and 48919. First we will calculate the prime factors of 48900 and 48919.

Prime Factorization of 48900

Prime Factorization of 48919

Now multiplying the highest exponent prime factors to calculate the LCM of 48900 and 48919.

LCM(48900,48919) = 2² × 3¹ × 5² × 163¹ × 13¹ × 53¹ × 71¹
LCM(48900,48919) = 2392139100