What is the Least Common Multiple of 51914 and 51931?

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 51914 and 51931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51914 and 51931, than apply into the LCM equation.

GCF(51914,51931) = 1
LCM(51914,51931) = ( 51914 × 51931) / 1
LCM(51914,51931) = 2695945934 / 1
LCM(51914,51931) = 2695945934

Least Common Multiple (LCM) of 51914 and 51931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51914 and 51931. First we will calculate the prime factors of 51914 and 51931.

Prime Factorization of 51914

Prime Factorization of 51931

Now multiplying the highest exponent prime factors to calculate the LCM of 51914 and 51931.

LCM(51914,51931) = 2¹ × 101¹ × 257¹ × 11¹ × 4721¹
LCM(51914,51931) = 2695945934