What is the Least Common Multiple of 64560 and 64575?

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 64560 and 64575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64560 and 64575, than apply into the LCM equation.

GCF(64560,64575) = 15
LCM(64560,64575) = ( 64560 × 64575) / 15
LCM(64560,64575) = 4168962000 / 15
LCM(64560,64575) = 277930800

Least Common Multiple (LCM) of 64560 and 64575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64560 and 64575. First we will calculate the prime factors of 64560 and 64575.

Prime Factorization of 64560

Prime Factorization of 64575

Now multiplying the highest exponent prime factors to calculate the LCM of 64560 and 64575.

LCM(64560,64575) = 2⁴ × 3² × 5² × 269¹ × 7¹ × 41¹
LCM(64560,64575) = 277930800