What is the Least Common Multiple of 52668 and 52672?

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 52668 and 52672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52668 and 52672, than apply into the LCM equation.

GCF(52668,52672) = 4
LCM(52668,52672) = ( 52668 × 52672) / 4
LCM(52668,52672) = 2774128896 / 4
LCM(52668,52672) = 693532224

Least Common Multiple (LCM) of 52668 and 52672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52668 and 52672. First we will calculate the prime factors of 52668 and 52672.

Prime Factorization of 52668

Prime Factorization of 52672

Now multiplying the highest exponent prime factors to calculate the LCM of 52668 and 52672.

LCM(52668,52672) = 2⁶ × 3² × 7¹ × 11¹ × 19¹ × 823¹
LCM(52668,52672) = 693532224