What is the Least Common Multiple of 30642 and 30649?

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 30649 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 30649, than apply into the LCM equation.

GCF(30642,30649) = 1
LCM(30642,30649) = ( 30642 × 30649) / 1
LCM(30642,30649) = 939146658 / 1
LCM(30642,30649) = 939146658

Least Common Multiple (LCM) of 30642 and 30649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30642 and 30649. First we will calculate the prime factors of 30642 and 30649.

Prime Factorization of 30642

Prime Factorization of 30649

Now multiplying the highest exponent prime factors to calculate the LCM of 30642 and 30649.

LCM(30642,30649) = 2¹ × 3¹ × 5107¹ × 30649¹
LCM(30642,30649) = 939146658