What is the Least Common Multiple of 47744 and 47750?

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 47744 and 47750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47744 and 47750, than apply into the LCM equation.

GCF(47744,47750) = 2
LCM(47744,47750) = ( 47744 × 47750) / 2
LCM(47744,47750) = 2279776000 / 2
LCM(47744,47750) = 1139888000

Least Common Multiple (LCM) of 47744 and 47750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47744 and 47750. First we will calculate the prime factors of 47744 and 47750.

Prime Factorization of 47744

Prime Factorization of 47750

Now multiplying the highest exponent prime factors to calculate the LCM of 47744 and 47750.

LCM(47744,47750) = 2⁷ × 373¹ × 5³ × 191¹
LCM(47744,47750) = 1139888000