What is the Least Common Multiple of 47102 and 47114?

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 47102 and 47114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47102 and 47114, than apply into the LCM equation.

GCF(47102,47114) = 2
LCM(47102,47114) = ( 47102 × 47114) / 2
LCM(47102,47114) = 2219163628 / 2
LCM(47102,47114) = 1109581814

Least Common Multiple (LCM) of 47102 and 47114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47102 and 47114. First we will calculate the prime factors of 47102 and 47114.

Prime Factorization of 47102

Prime Factorization of 47114

Now multiplying the highest exponent prime factors to calculate the LCM of 47102 and 47114.

LCM(47102,47114) = 2¹ × 11¹ × 2141¹ × 23557¹
LCM(47102,47114) = 1109581814