What is the Least Common Multiple of 42738 and 42744?

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 42738 and 42744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42738 and 42744, than apply into the LCM equation.

GCF(42738,42744) = 6
LCM(42738,42744) = ( 42738 × 42744) / 6
LCM(42738,42744) = 1826793072 / 6
LCM(42738,42744) = 304465512

Least Common Multiple (LCM) of 42738 and 42744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42738 and 42744. First we will calculate the prime factors of 42738 and 42744.

Prime Factorization of 42738

Prime Factorization of 42744

Now multiplying the highest exponent prime factors to calculate the LCM of 42738 and 42744.

LCM(42738,42744) = 2³ × 3¹ × 17¹ × 419¹ × 13¹ × 137¹
LCM(42738,42744) = 304465512