What is the Least Common Multiple of 95869 and 95874?

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 95869 and 95874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95869 and 95874, than apply into the LCM equation.

GCF(95869,95874) = 1
LCM(95869,95874) = ( 95869 × 95874) / 1
LCM(95869,95874) = 9191344506 / 1
LCM(95869,95874) = 9191344506

Least Common Multiple (LCM) of 95869 and 95874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95869 and 95874. First we will calculate the prime factors of 95869 and 95874.

Prime Factorization of 95869

Prime Factorization of 95874

Now multiplying the highest exponent prime factors to calculate the LCM of 95869 and 95874.

LCM(95869,95874) = 95869¹ × 2¹ × 3¹ × 19¹ × 29²
LCM(95869,95874) = 9191344506