What is the Least Common Multiple of 47560 and 47578?

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 47578 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 47578, than apply into the LCM equation.

GCF(47560,47578) = 2
LCM(47560,47578) = ( 47560 × 47578) / 2
LCM(47560,47578) = 2262809680 / 2
LCM(47560,47578) = 1131404840

Least Common Multiple (LCM) of 47560 and 47578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47560 and 47578. First we will calculate the prime factors of 47560 and 47578.

Prime Factorization of 47560

Prime Factorization of 47578

Now multiplying the highest exponent prime factors to calculate the LCM of 47560 and 47578.

LCM(47560,47578) = 2³ × 5¹ × 29¹ × 41¹ × 23789¹
LCM(47560,47578) = 1131404840