What is the Least Common Multiple of 42744 and 42750?

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 42744 and 42750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42744 and 42750, than apply into the LCM equation.

GCF(42744,42750) = 6
LCM(42744,42750) = ( 42744 × 42750) / 6
LCM(42744,42750) = 1827306000 / 6
LCM(42744,42750) = 304551000

Least Common Multiple (LCM) of 42744 and 42750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42744 and 42750. First we will calculate the prime factors of 42744 and 42750.

Prime Factorization of 42744

Prime Factorization of 42750

Now multiplying the highest exponent prime factors to calculate the LCM of 42744 and 42750.

LCM(42744,42750) = 2³ × 3² × 13¹ × 137¹ × 5³ × 19¹
LCM(42744,42750) = 304551000