What is the Least Common Multiple of 47158 and 47172?

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 47158 and 47172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47158 and 47172, than apply into the LCM equation.

GCF(47158,47172) = 2
LCM(47158,47172) = ( 47158 × 47172) / 2
LCM(47158,47172) = 2224537176 / 2
LCM(47158,47172) = 1112268588

Least Common Multiple (LCM) of 47158 and 47172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47158 and 47172. First we will calculate the prime factors of 47158 and 47172.

Prime Factorization of 47158

Prime Factorization of 47172

Now multiplying the highest exponent prime factors to calculate the LCM of 47158 and 47172.

LCM(47158,47172) = 2² × 17¹ × 19¹ × 73¹ × 3¹ × 3931¹
LCM(47158,47172) = 1112268588