What is the Least Common Multiple of 30654 and 30672?

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 30654 and 30672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30654 and 30672, than apply into the LCM equation.

GCF(30654,30672) = 18
LCM(30654,30672) = ( 30654 × 30672) / 18
LCM(30654,30672) = 940219488 / 18
LCM(30654,30672) = 52234416

Least Common Multiple (LCM) of 30654 and 30672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30654 and 30672. First we will calculate the prime factors of 30654 and 30672.

Prime Factorization of 30654

Prime Factorization of 30672

Now multiplying the highest exponent prime factors to calculate the LCM of 30654 and 30672.

LCM(30654,30672) = 2⁴ × 3³ × 13¹ × 131¹ × 71¹
LCM(30654,30672) = 52234416