What is the Least Common Multiple of 47258 and 47272?

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 47258 and 47272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47258 and 47272, than apply into the LCM equation.

GCF(47258,47272) = 2
LCM(47258,47272) = ( 47258 × 47272) / 2
LCM(47258,47272) = 2233980176 / 2
LCM(47258,47272) = 1116990088

Least Common Multiple (LCM) of 47258 and 47272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47258 and 47272. First we will calculate the prime factors of 47258 and 47272.

Prime Factorization of 47258

Prime Factorization of 47272

Now multiplying the highest exponent prime factors to calculate the LCM of 47258 and 47272.

LCM(47258,47272) = 2³ × 23629¹ × 19¹ × 311¹
LCM(47258,47272) = 1116990088