What is the Least Common Multiple of 95404 and 95424?

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 95404 and 95424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95404 and 95424, than apply into the LCM equation.

GCF(95404,95424) = 4
LCM(95404,95424) = ( 95404 × 95424) / 4
LCM(95404,95424) = 9103831296 / 4
LCM(95404,95424) = 2275957824

Least Common Multiple (LCM) of 95404 and 95424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95404 and 95424. First we will calculate the prime factors of 95404 and 95424.

Prime Factorization of 95404

Prime Factorization of 95424

Now multiplying the highest exponent prime factors to calculate the LCM of 95404 and 95424.

LCM(95404,95424) = 2⁶ × 17¹ × 23¹ × 61¹ × 3¹ × 7¹ × 71¹
LCM(95404,95424) = 2275957824