What is the Least Common Multiple of 48440 and 48451?

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 48440 and 48451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48440 and 48451, than apply into the LCM equation.

GCF(48440,48451) = 1
LCM(48440,48451) = ( 48440 × 48451) / 1
LCM(48440,48451) = 2346966440 / 1
LCM(48440,48451) = 2346966440

Least Common Multiple (LCM) of 48440 and 48451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48440 and 48451. First we will calculate the prime factors of 48440 and 48451.

Prime Factorization of 48440

Prime Factorization of 48451

Now multiplying the highest exponent prime factors to calculate the LCM of 48440 and 48451.

LCM(48440,48451) = 2³ × 5¹ × 7¹ × 173¹ × 13¹ × 3727¹
LCM(48440,48451) = 2346966440