What is the Least Common Multiple of 79320 and 79335?

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 79320 and 79335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79320 and 79335, than apply into the LCM equation.

GCF(79320,79335) = 15
LCM(79320,79335) = ( 79320 × 79335) / 15
LCM(79320,79335) = 6292852200 / 15
LCM(79320,79335) = 419523480

Least Common Multiple (LCM) of 79320 and 79335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79320 and 79335. First we will calculate the prime factors of 79320 and 79335.

Prime Factorization of 79320

Prime Factorization of 79335

Now multiplying the highest exponent prime factors to calculate the LCM of 79320 and 79335.

LCM(79320,79335) = 2³ × 3² × 5¹ × 661¹ × 41¹ × 43¹
LCM(79320,79335) = 419523480