What is the Least Common Multiple of 48792 and 48800?

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 48792 and 48800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48792 and 48800, than apply into the LCM equation.

GCF(48792,48800) = 8
LCM(48792,48800) = ( 48792 × 48800) / 8
LCM(48792,48800) = 2381049600 / 8
LCM(48792,48800) = 297631200

Least Common Multiple (LCM) of 48792 and 48800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48792 and 48800. First we will calculate the prime factors of 48792 and 48800.

Prime Factorization of 48792

Prime Factorization of 48800

Now multiplying the highest exponent prime factors to calculate the LCM of 48792 and 48800.

LCM(48792,48800) = 2⁵ × 3¹ × 19¹ × 107¹ × 5² × 61¹
LCM(48792,48800) = 297631200