What is the Least Common Multiple of 64300 and 64305?

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 64300 and 64305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64300 and 64305, than apply into the LCM equation.

GCF(64300,64305) = 5
LCM(64300,64305) = ( 64300 × 64305) / 5
LCM(64300,64305) = 4134811500 / 5
LCM(64300,64305) = 826962300

Least Common Multiple (LCM) of 64300 and 64305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64300 and 64305. First we will calculate the prime factors of 64300 and 64305.

Prime Factorization of 64300

Prime Factorization of 64305

Now multiplying the highest exponent prime factors to calculate the LCM of 64300 and 64305.

LCM(64300,64305) = 2² × 5² × 643¹ × 3² × 1429¹
LCM(64300,64305) = 826962300