What is the Least Common Multiple of 42570 and 42576?

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 42570 and 42576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42570 and 42576, than apply into the LCM equation.

GCF(42570,42576) = 6
LCM(42570,42576) = ( 42570 × 42576) / 6
LCM(42570,42576) = 1812460320 / 6
LCM(42570,42576) = 302076720

Least Common Multiple (LCM) of 42570 and 42576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42570 and 42576. First we will calculate the prime factors of 42570 and 42576.

Prime Factorization of 42570

Prime Factorization of 42576

Now multiplying the highest exponent prime factors to calculate the LCM of 42570 and 42576.

LCM(42570,42576) = 2⁴ × 3² × 5¹ × 11¹ × 43¹ × 887¹
LCM(42570,42576) = 302076720