What is the Least Common Multiple of 47590 and 47608?

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 47590 and 47608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47590 and 47608, than apply into the LCM equation.

GCF(47590,47608) = 2
LCM(47590,47608) = ( 47590 × 47608) / 2
LCM(47590,47608) = 2265664720 / 2
LCM(47590,47608) = 1132832360

Least Common Multiple (LCM) of 47590 and 47608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47590 and 47608. First we will calculate the prime factors of 47590 and 47608.

Prime Factorization of 47590

Prime Factorization of 47608

Now multiplying the highest exponent prime factors to calculate the LCM of 47590 and 47608.

LCM(47590,47608) = 2³ × 5¹ × 4759¹ × 11¹ × 541¹
LCM(47590,47608) = 1132832360