What is the Least Common Multiple of 72768 and 72780?

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 72768 and 72780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72768 and 72780, than apply into the LCM equation.

GCF(72768,72780) = 12
LCM(72768,72780) = ( 72768 × 72780) / 12
LCM(72768,72780) = 5296055040 / 12
LCM(72768,72780) = 441337920

Least Common Multiple (LCM) of 72768 and 72780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72768 and 72780. First we will calculate the prime factors of 72768 and 72780.

Prime Factorization of 72768

Prime Factorization of 72780

Now multiplying the highest exponent prime factors to calculate the LCM of 72768 and 72780.

LCM(72768,72780) = 2⁶ × 3¹ × 379¹ × 5¹ × 1213¹
LCM(72768,72780) = 441337920