What is the Least Common Multiple of 64290 and 64300?

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 64290 and 64300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64290 and 64300, than apply into the LCM equation.

GCF(64290,64300) = 10
LCM(64290,64300) = ( 64290 × 64300) / 10
LCM(64290,64300) = 4133847000 / 10
LCM(64290,64300) = 413384700

Least Common Multiple (LCM) of 64290 and 64300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64290 and 64300. First we will calculate the prime factors of 64290 and 64300.

Prime Factorization of 64290

Prime Factorization of 64300

Now multiplying the highest exponent prime factors to calculate the LCM of 64290 and 64300.

LCM(64290,64300) = 2² × 3¹ × 5² × 2143¹ × 643¹
LCM(64290,64300) = 413384700