What is the Least Common Multiple of 78741 and 78751?

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 78741 and 78751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78741 and 78751, than apply into the LCM equation.

GCF(78741,78751) = 1
LCM(78741,78751) = ( 78741 × 78751) / 1
LCM(78741,78751) = 6200932491 / 1
LCM(78741,78751) = 6200932491

Least Common Multiple (LCM) of 78741 and 78751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78741 and 78751. First we will calculate the prime factors of 78741 and 78751.

Prime Factorization of 78741

Prime Factorization of 78751

Now multiplying the highest exponent prime factors to calculate the LCM of 78741 and 78751.

LCM(78741,78751) = 3² × 13¹ × 673¹ × 61¹ × 1291¹
LCM(78741,78751) = 6200932491