What is the Least Common Multiple of 48368 and 48376?

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 48368 and 48376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48368 and 48376, than apply into the LCM equation.

GCF(48368,48376) = 8
LCM(48368,48376) = ( 48368 × 48376) / 8
LCM(48368,48376) = 2339850368 / 8
LCM(48368,48376) = 292481296

Least Common Multiple (LCM) of 48368 and 48376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48368 and 48376. First we will calculate the prime factors of 48368 and 48376.

Prime Factorization of 48368

Prime Factorization of 48376

Now multiplying the highest exponent prime factors to calculate the LCM of 48368 and 48376.

LCM(48368,48376) = 2⁴ × 3023¹ × 6047¹
LCM(48368,48376) = 292481296