What is the Least Common Multiple of 48675 and 48693?

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 48675 and 48693 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48675 and 48693, than apply into the LCM equation.

GCF(48675,48693) = 3
LCM(48675,48693) = ( 48675 × 48693) / 3
LCM(48675,48693) = 2370131775 / 3
LCM(48675,48693) = 790043925

Least Common Multiple (LCM) of 48675 and 48693 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48675 and 48693. First we will calculate the prime factors of 48675 and 48693.

Prime Factorization of 48675

Prime Factorization of 48693

Now multiplying the highest exponent prime factors to calculate the LCM of 48675 and 48693.

LCM(48675,48693) = 3¹ × 5² × 11¹ × 59¹ × 16231¹
LCM(48675,48693) = 790043925