What is the Least Common Multiple of 42576 and 42585?

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 42576 and 42585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42576 and 42585, than apply into the LCM equation.

GCF(42576,42585) = 3
LCM(42576,42585) = ( 42576 × 42585) / 3
LCM(42576,42585) = 1813098960 / 3
LCM(42576,42585) = 604366320

Least Common Multiple (LCM) of 42576 and 42585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42576 and 42585. First we will calculate the prime factors of 42576 and 42585.

Prime Factorization of 42576

Prime Factorization of 42585

Now multiplying the highest exponent prime factors to calculate the LCM of 42576 and 42585.

LCM(42576,42585) = 2⁴ × 3¹ × 887¹ × 5¹ × 17¹ × 167¹
LCM(42576,42585) = 604366320