What is the Least Common Multiple of 42612 and 42630?

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 42612 and 42630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42612 and 42630, than apply into the LCM equation.

GCF(42612,42630) = 6
LCM(42612,42630) = ( 42612 × 42630) / 6
LCM(42612,42630) = 1816549560 / 6
LCM(42612,42630) = 302758260

Least Common Multiple (LCM) of 42612 and 42630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42612 and 42630. First we will calculate the prime factors of 42612 and 42630.

Prime Factorization of 42612

Prime Factorization of 42630

Now multiplying the highest exponent prime factors to calculate the LCM of 42612 and 42630.

LCM(42612,42630) = 2² × 3¹ × 53¹ × 67¹ × 5¹ × 7² × 29¹
LCM(42612,42630) = 302758260