What is the Least Common Multiple of 47508 and 47518?

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 47508 and 47518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47508 and 47518, than apply into the LCM equation.

GCF(47508,47518) = 2
LCM(47508,47518) = ( 47508 × 47518) / 2
LCM(47508,47518) = 2257485144 / 2
LCM(47508,47518) = 1128742572

Least Common Multiple (LCM) of 47508 and 47518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47508 and 47518. First we will calculate the prime factors of 47508 and 47518.

Prime Factorization of 47508

Prime Factorization of 47518

Now multiplying the highest exponent prime factors to calculate the LCM of 47508 and 47518.

LCM(47508,47518) = 2² × 3¹ × 37¹ × 107¹ × 23¹ × 1033¹
LCM(47508,47518) = 1128742572