What is the Least Common Multiple of 42135 and 42147?

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 42135 and 42147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42135 and 42147, than apply into the LCM equation.

GCF(42135,42147) = 3
LCM(42135,42147) = ( 42135 × 42147) / 3
LCM(42135,42147) = 1775863845 / 3
LCM(42135,42147) = 591954615

Least Common Multiple (LCM) of 42135 and 42147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42135 and 42147. First we will calculate the prime factors of 42135 and 42147.

Prime Factorization of 42135

Prime Factorization of 42147

Now multiplying the highest exponent prime factors to calculate the LCM of 42135 and 42147.

LCM(42135,42147) = 3³ × 5¹ × 53² × 7¹ × 223¹
LCM(42135,42147) = 591954615