What is the Least Common Multiple of 47500 and 47512?

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 47500 and 47512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47500 and 47512, than apply into the LCM equation.

GCF(47500,47512) = 4
LCM(47500,47512) = ( 47500 × 47512) / 4
LCM(47500,47512) = 2256820000 / 4
LCM(47500,47512) = 564205000

Least Common Multiple (LCM) of 47500 and 47512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47500 and 47512. First we will calculate the prime factors of 47500 and 47512.

Prime Factorization of 47500

Prime Factorization of 47512

Now multiplying the highest exponent prime factors to calculate the LCM of 47500 and 47512.

LCM(47500,47512) = 2³ × 5⁴ × 19¹ × 5939¹
LCM(47500,47512) = 564205000