What is the Least Common Multiple of 64275 and 64290?

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 64275 and 64290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64275 and 64290, than apply into the LCM equation.

GCF(64275,64290) = 15
LCM(64275,64290) = ( 64275 × 64290) / 15
LCM(64275,64290) = 4132239750 / 15
LCM(64275,64290) = 275482650

Least Common Multiple (LCM) of 64275 and 64290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64275 and 64290. First we will calculate the prime factors of 64275 and 64290.

Prime Factorization of 64275

Prime Factorization of 64290

Now multiplying the highest exponent prime factors to calculate the LCM of 64275 and 64290.

LCM(64275,64290) = 3¹ × 5² × 857¹ × 2¹ × 2143¹
LCM(64275,64290) = 275482650