What is the Least Common Multiple of 64320 and 64335?

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 64320 and 64335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64320 and 64335, than apply into the LCM equation.

GCF(64320,64335) = 15
LCM(64320,64335) = ( 64320 × 64335) / 15
LCM(64320,64335) = 4138027200 / 15
LCM(64320,64335) = 275868480

Least Common Multiple (LCM) of 64320 and 64335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64320 and 64335. First we will calculate the prime factors of 64320 and 64335.

Prime Factorization of 64320

Prime Factorization of 64335

Now multiplying the highest exponent prime factors to calculate the LCM of 64320 and 64335.

LCM(64320,64335) = 2⁶ × 3¹ × 5¹ × 67¹ × 4289¹
LCM(64320,64335) = 275868480