What is the Least Common Multiple of 79425 and 79440?

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 79425 and 79440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79425 and 79440, than apply into the LCM equation.

GCF(79425,79440) = 15
LCM(79425,79440) = ( 79425 × 79440) / 15
LCM(79425,79440) = 6309522000 / 15
LCM(79425,79440) = 420634800

Least Common Multiple (LCM) of 79425 and 79440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79425 and 79440. First we will calculate the prime factors of 79425 and 79440.

Prime Factorization of 79425

Prime Factorization of 79440

Now multiplying the highest exponent prime factors to calculate the LCM of 79425 and 79440.

LCM(79425,79440) = 3² × 5² × 353¹ × 2⁴ × 331¹
LCM(79425,79440) = 420634800