What is the Least Common Multiple of 42285 and 42294?

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 42285 and 42294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42285 and 42294, than apply into the LCM equation.

GCF(42285,42294) = 3
LCM(42285,42294) = ( 42285 × 42294) / 3
LCM(42285,42294) = 1788401790 / 3
LCM(42285,42294) = 596133930

Least Common Multiple (LCM) of 42285 and 42294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42285 and 42294. First we will calculate the prime factors of 42285 and 42294.

Prime Factorization of 42285

Prime Factorization of 42294

Now multiplying the highest exponent prime factors to calculate the LCM of 42285 and 42294.

LCM(42285,42294) = 3¹ × 5¹ × 2819¹ × 2¹ × 7¹ × 19¹ × 53¹
LCM(42285,42294) = 596133930