What is the Least Common Multiple of 7874 and 7893?

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 7874 and 7893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7874 and 7893, than apply into the LCM equation.

GCF(7874,7893) = 1
LCM(7874,7893) = ( 7874 × 7893) / 1
LCM(7874,7893) = 62149482 / 1
LCM(7874,7893) = 62149482

Least Common Multiple (LCM) of 7874 and 7893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7874 and 7893. First we will calculate the prime factors of 7874 and 7893.

Prime Factorization of 7874

Prime Factorization of 7893

Now multiplying the highest exponent prime factors to calculate the LCM of 7874 and 7893.

LCM(7874,7893) = 2¹ × 31¹ × 127¹ × 3² × 877¹
LCM(7874,7893) = 62149482