What is the Least Common Multiple of 47114 and 47125?

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 47114 and 47125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47114 and 47125, than apply into the LCM equation.

GCF(47114,47125) = 1
LCM(47114,47125) = ( 47114 × 47125) / 1
LCM(47114,47125) = 2220247250 / 1
LCM(47114,47125) = 2220247250

Least Common Multiple (LCM) of 47114 and 47125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47114 and 47125. First we will calculate the prime factors of 47114 and 47125.

Prime Factorization of 47114

Prime Factorization of 47125

Now multiplying the highest exponent prime factors to calculate the LCM of 47114 and 47125.

LCM(47114,47125) = 2¹ × 23557¹ × 5³ × 13¹ × 29¹
LCM(47114,47125) = 2220247250