What is the Least Common Multiple of 47588 and 47598?

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 47588 and 47598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47588 and 47598, than apply into the LCM equation.

GCF(47588,47598) = 2
LCM(47588,47598) = ( 47588 × 47598) / 2
LCM(47588,47598) = 2265093624 / 2
LCM(47588,47598) = 1132546812

Least Common Multiple (LCM) of 47588 and 47598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47588 and 47598. First we will calculate the prime factors of 47588 and 47598.

Prime Factorization of 47588

Prime Factorization of 47598

Now multiplying the highest exponent prime factors to calculate the LCM of 47588 and 47598.

LCM(47588,47598) = 2² × 11897¹ × 3¹ × 7933¹
LCM(47588,47598) = 1132546812