What is the Least Common Multiple of 48516 and 48525?

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 48516 and 48525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48516 and 48525, than apply into the LCM equation.

GCF(48516,48525) = 3
LCM(48516,48525) = ( 48516 × 48525) / 3
LCM(48516,48525) = 2354238900 / 3
LCM(48516,48525) = 784746300

Least Common Multiple (LCM) of 48516 and 48525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48516 and 48525. First we will calculate the prime factors of 48516 and 48525.

Prime Factorization of 48516

Prime Factorization of 48525

Now multiplying the highest exponent prime factors to calculate the LCM of 48516 and 48525.

LCM(48516,48525) = 2² × 3¹ × 13¹ × 311¹ × 5² × 647¹
LCM(48516,48525) = 784746300