What is the Least Common Multiple of 47901 and 47912?

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 47901 and 47912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47901 and 47912, than apply into the LCM equation.

GCF(47901,47912) = 1
LCM(47901,47912) = ( 47901 × 47912) / 1
LCM(47901,47912) = 2295032712 / 1
LCM(47901,47912) = 2295032712

Least Common Multiple (LCM) of 47901 and 47912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47901 and 47912. First we will calculate the prime factors of 47901 and 47912.

Prime Factorization of 47901

Prime Factorization of 47912

Now multiplying the highest exponent prime factors to calculate the LCM of 47901 and 47912.

LCM(47901,47912) = 3¹ × 7¹ × 2281¹ × 2³ × 53¹ × 113¹
LCM(47901,47912) = 2295032712