What is the Least Common Multiple of 64500 and 64514?

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 64514 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 64514, than apply into the LCM equation.

GCF(64500,64514) = 2
LCM(64500,64514) = ( 64500 × 64514) / 2
LCM(64500,64514) = 4161153000 / 2
LCM(64500,64514) = 2080576500

Least Common Multiple (LCM) of 64500 and 64514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64500 and 64514. First we will calculate the prime factors of 64500 and 64514.

Prime Factorization of 64500

Prime Factorization of 64514

Now multiplying the highest exponent prime factors to calculate the LCM of 64500 and 64514.

LCM(64500,64514) = 2² × 3¹ × 5³ × 43¹ × 32257¹
LCM(64500,64514) = 2080576500