What is the Least Common Multiple of 47112 and 47126?

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 47112 and 47126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47112 and 47126, than apply into the LCM equation.

GCF(47112,47126) = 2
LCM(47112,47126) = ( 47112 × 47126) / 2
LCM(47112,47126) = 2220200112 / 2
LCM(47112,47126) = 1110100056

Least Common Multiple (LCM) of 47112 and 47126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47112 and 47126. First we will calculate the prime factors of 47112 and 47126.

Prime Factorization of 47112

Prime Factorization of 47126

Now multiplying the highest exponent prime factors to calculate the LCM of 47112 and 47126.

LCM(47112,47126) = 2³ × 3¹ × 13¹ × 151¹ × 23563¹
LCM(47112,47126) = 1110100056