What is the Least Common Multiple of 30648 and 30668?

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 30648 and 30668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30648 and 30668, than apply into the LCM equation.

GCF(30648,30668) = 4
LCM(30648,30668) = ( 30648 × 30668) / 4
LCM(30648,30668) = 939912864 / 4
LCM(30648,30668) = 234978216

Least Common Multiple (LCM) of 30648 and 30668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30648 and 30668. First we will calculate the prime factors of 30648 and 30668.

Prime Factorization of 30648

Prime Factorization of 30668

Now multiplying the highest exponent prime factors to calculate the LCM of 30648 and 30668.

LCM(30648,30668) = 2³ × 3¹ × 1277¹ × 11¹ × 17¹ × 41¹
LCM(30648,30668) = 234978216