What is the Least Common Multiple of 47560 and 47576?

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 47560 and 47576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47560 and 47576, than apply into the LCM equation.

GCF(47560,47576) = 8
LCM(47560,47576) = ( 47560 × 47576) / 8
LCM(47560,47576) = 2262714560 / 8
LCM(47560,47576) = 282839320

Least Common Multiple (LCM) of 47560 and 47576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47560 and 47576. First we will calculate the prime factors of 47560 and 47576.

Prime Factorization of 47560

Prime Factorization of 47576

Now multiplying the highest exponent prime factors to calculate the LCM of 47560 and 47576.

LCM(47560,47576) = 2³ × 5¹ × 29¹ × 41¹ × 19¹ × 313¹
LCM(47560,47576) = 282839320