What is the Least Common Multiple of 48688 and 48696?

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 48688 and 48696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48688 and 48696, than apply into the LCM equation.

GCF(48688,48696) = 8
LCM(48688,48696) = ( 48688 × 48696) / 8
LCM(48688,48696) = 2370910848 / 8
LCM(48688,48696) = 296363856

Least Common Multiple (LCM) of 48688 and 48696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48688 and 48696. First we will calculate the prime factors of 48688 and 48696.

Prime Factorization of 48688

Prime Factorization of 48696

Now multiplying the highest exponent prime factors to calculate the LCM of 48688 and 48696.

LCM(48688,48696) = 2⁴ × 17¹ × 179¹ × 3¹ × 2029¹
LCM(48688,48696) = 296363856