What is the Least Common Multiple of 48663 and 48672?

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 48663 and 48672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48663 and 48672, than apply into the LCM equation.

GCF(48663,48672) = 9
LCM(48663,48672) = ( 48663 × 48672) / 9
LCM(48663,48672) = 2368525536 / 9
LCM(48663,48672) = 263169504

Least Common Multiple (LCM) of 48663 and 48672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48663 and 48672. First we will calculate the prime factors of 48663 and 48672.

Prime Factorization of 48663

Prime Factorization of 48672

Now multiplying the highest exponent prime factors to calculate the LCM of 48663 and 48672.

LCM(48663,48672) = 3² × 5407¹ × 2⁵ × 13²
LCM(48663,48672) = 263169504