What is the Least Common Multiple of 30642 and 30651?

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 30642 and 30651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30642 and 30651, than apply into the LCM equation.

GCF(30642,30651) = 3
LCM(30642,30651) = ( 30642 × 30651) / 3
LCM(30642,30651) = 939207942 / 3
LCM(30642,30651) = 313069314

Least Common Multiple (LCM) of 30642 and 30651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30642 and 30651. First we will calculate the prime factors of 30642 and 30651.

Prime Factorization of 30642

Prime Factorization of 30651

Now multiplying the highest exponent prime factors to calculate the LCM of 30642 and 30651.

LCM(30642,30651) = 2¹ × 3¹ × 5107¹ × 17¹ × 601¹
LCM(30642,30651) = 313069314