What is the Least Common Multiple of 75854 and 75874?

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 75854 and 75874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75854 and 75874, than apply into the LCM equation.

GCF(75854,75874) = 2
LCM(75854,75874) = ( 75854 × 75874) / 2
LCM(75854,75874) = 5755346396 / 2
LCM(75854,75874) = 2877673198

Least Common Multiple (LCM) of 75854 and 75874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75854 and 75874. First we will calculate the prime factors of 75854 and 75874.

Prime Factorization of 75854

Prime Factorization of 75874

Now multiplying the highest exponent prime factors to calculate the LCM of 75854 and 75874.

LCM(75854,75874) = 2¹ × 17¹ × 23¹ × 97¹ × 59¹ × 643¹
LCM(75854,75874) = 2877673198