What is the Least Common Multiple of 30672 and 30686?

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 30672 and 30686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30672 and 30686, than apply into the LCM equation.

GCF(30672,30686) = 2
LCM(30672,30686) = ( 30672 × 30686) / 2
LCM(30672,30686) = 941200992 / 2
LCM(30672,30686) = 470600496

Least Common Multiple (LCM) of 30672 and 30686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30672 and 30686. First we will calculate the prime factors of 30672 and 30686.

Prime Factorization of 30672

Prime Factorization of 30686

Now multiplying the highest exponent prime factors to calculate the LCM of 30672 and 30686.

LCM(30672,30686) = 2⁴ × 3³ × 71¹ × 67¹ × 229¹
LCM(30672,30686) = 470600496