What is the Least Common Multiple of 76874 and 76893?

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 76874 and 76893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76874 and 76893, than apply into the LCM equation.

GCF(76874,76893) = 19
LCM(76874,76893) = ( 76874 × 76893) / 19
LCM(76874,76893) = 5911072482 / 19
LCM(76874,76893) = 311109078

Least Common Multiple (LCM) of 76874 and 76893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76874 and 76893. First we will calculate the prime factors of 76874 and 76893.

Prime Factorization of 76874

Prime Factorization of 76893

Now multiplying the highest exponent prime factors to calculate the LCM of 76874 and 76893.

LCM(76874,76893) = 2¹ × 7¹ × 17² × 19² × 3¹ × 71¹
LCM(76874,76893) = 311109078