What is the Least Common Multiple of 92874 and 92878?

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 92874 and 92878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92874 and 92878, than apply into the LCM equation.

GCF(92874,92878) = 2
LCM(92874,92878) = ( 92874 × 92878) / 2
LCM(92874,92878) = 8625951372 / 2
LCM(92874,92878) = 4312975686

Least Common Multiple (LCM) of 92874 and 92878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92874 and 92878. First we will calculate the prime factors of 92874 and 92878.

Prime Factorization of 92874

Prime Factorization of 92878

Now multiplying the highest exponent prime factors to calculate the LCM of 92874 and 92878.

LCM(92874,92878) = 2¹ × 3¹ × 23¹ × 673¹ × 46439¹
LCM(92874,92878) = 4312975686