What is the Least Common Multiple of 64480 and 64500?

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 64480 and 64500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64480 and 64500, than apply into the LCM equation.

GCF(64480,64500) = 20
LCM(64480,64500) = ( 64480 × 64500) / 20
LCM(64480,64500) = 4158960000 / 20
LCM(64480,64500) = 207948000

Least Common Multiple (LCM) of 64480 and 64500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64480 and 64500. First we will calculate the prime factors of 64480 and 64500.

Prime Factorization of 64480

Prime Factorization of 64500

Now multiplying the highest exponent prime factors to calculate the LCM of 64480 and 64500.

LCM(64480,64500) = 2⁵ × 5³ × 13¹ × 31¹ × 3¹ × 43¹
LCM(64480,64500) = 207948000