What is the Least Common Multiple of 48216 and 48224?

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 48216 and 48224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48216 and 48224, than apply into the LCM equation.

GCF(48216,48224) = 8
LCM(48216,48224) = ( 48216 × 48224) / 8
LCM(48216,48224) = 2325168384 / 8
LCM(48216,48224) = 290646048

Least Common Multiple (LCM) of 48216 and 48224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48216 and 48224. First we will calculate the prime factors of 48216 and 48224.

Prime Factorization of 48216

Prime Factorization of 48224

Now multiplying the highest exponent prime factors to calculate the LCM of 48216 and 48224.

LCM(48216,48224) = 2⁵ × 3¹ × 7² × 41¹ × 11¹ × 137¹
LCM(48216,48224) = 290646048