What is the Least Common Multiple of 47536 and 47547?

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 47536 and 47547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47536 and 47547, than apply into the LCM equation.

GCF(47536,47547) = 1
LCM(47536,47547) = ( 47536 × 47547) / 1
LCM(47536,47547) = 2260194192 / 1
LCM(47536,47547) = 2260194192

Least Common Multiple (LCM) of 47536 and 47547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47536 and 47547. First we will calculate the prime factors of 47536 and 47547.

Prime Factorization of 47536

Prime Factorization of 47547

Now multiplying the highest exponent prime factors to calculate the LCM of 47536 and 47547.

LCM(47536,47547) = 2⁴ × 2971¹ × 3⁴ × 587¹
LCM(47536,47547) = 2260194192