What is the Least Common Multiple of 48924 and 48928?

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 48924 and 48928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48924 and 48928, than apply into the LCM equation.

GCF(48924,48928) = 4
LCM(48924,48928) = ( 48924 × 48928) / 4
LCM(48924,48928) = 2393753472 / 4
LCM(48924,48928) = 598438368

Least Common Multiple (LCM) of 48924 and 48928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48924 and 48928. First we will calculate the prime factors of 48924 and 48928.

Prime Factorization of 48924

Prime Factorization of 48928

Now multiplying the highest exponent prime factors to calculate the LCM of 48924 and 48928.

LCM(48924,48928) = 2⁵ × 3⁴ × 151¹ × 11¹ × 139¹
LCM(48924,48928) = 598438368