What is the Least Common Multiple of 47580 and 47588?

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 47580 and 47588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47580 and 47588, than apply into the LCM equation.

GCF(47580,47588) = 4
LCM(47580,47588) = ( 47580 × 47588) / 4
LCM(47580,47588) = 2264237040 / 4
LCM(47580,47588) = 566059260

Least Common Multiple (LCM) of 47580 and 47588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47580 and 47588. First we will calculate the prime factors of 47580 and 47588.

Prime Factorization of 47580

Prime Factorization of 47588

Now multiplying the highest exponent prime factors to calculate the LCM of 47580 and 47588.

LCM(47580,47588) = 2² × 3¹ × 5¹ × 13¹ × 61¹ × 11897¹
LCM(47580,47588) = 566059260