What is the Least Common Multiple of 64500 and 64509?

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 64500 and 64509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64500 and 64509, than apply into the LCM equation.

GCF(64500,64509) = 3
LCM(64500,64509) = ( 64500 × 64509) / 3
LCM(64500,64509) = 4160830500 / 3
LCM(64500,64509) = 1386943500

Least Common Multiple (LCM) of 64500 and 64509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64500 and 64509. First we will calculate the prime factors of 64500 and 64509.

Prime Factorization of 64500

Prime Factorization of 64509

Now multiplying the highest exponent prime factors to calculate the LCM of 64500 and 64509.

LCM(64500,64509) = 2² × 3¹ × 5³ × 43¹ × 21503¹
LCM(64500,64509) = 1386943500