What is the Least Common Multiple of 75874 and 75878?

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 75874 and 75878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75874 and 75878, than apply into the LCM equation.

GCF(75874,75878) = 2
LCM(75874,75878) = ( 75874 × 75878) / 2
LCM(75874,75878) = 5757167372 / 2
LCM(75874,75878) = 2878583686

Least Common Multiple (LCM) of 75874 and 75878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75874 and 75878. First we will calculate the prime factors of 75874 and 75878.

Prime Factorization of 75874

Prime Factorization of 75878

Now multiplying the highest exponent prime factors to calculate the LCM of 75874 and 75878.

LCM(75874,75878) = 2¹ × 59¹ × 643¹ × 11¹ × 3449¹
LCM(75874,75878) = 2878583686