What is the Least Common Multiple of 75874 and 75884?

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 75884 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 75884, than apply into the LCM equation.

GCF(75874,75884) = 2
LCM(75874,75884) = ( 75874 × 75884) / 2
LCM(75874,75884) = 5757622616 / 2
LCM(75874,75884) = 2878811308

Least Common Multiple (LCM) of 75874 and 75884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75874 and 75884. First we will calculate the prime factors of 75874 and 75884.

Prime Factorization of 75874

Prime Factorization of 75884

Now multiplying the highest exponent prime factors to calculate the LCM of 75874 and 75884.

LCM(75874,75884) = 2² × 59¹ × 643¹ × 61¹ × 311¹
LCM(75874,75884) = 2878811308