What is the Least Common Multiple of 95382 and 95392?

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 95382 and 95392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95382 and 95392, than apply into the LCM equation.

GCF(95382,95392) = 2
LCM(95382,95392) = ( 95382 × 95392) / 2
LCM(95382,95392) = 9098679744 / 2
LCM(95382,95392) = 4549339872

Least Common Multiple (LCM) of 95382 and 95392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95382 and 95392. First we will calculate the prime factors of 95382 and 95392.

Prime Factorization of 95382

Prime Factorization of 95392

Now multiplying the highest exponent prime factors to calculate the LCM of 95382 and 95392.

LCM(95382,95392) = 2⁵ × 3² × 7¹ × 757¹ × 11¹ × 271¹
LCM(95382,95392) = 4549339872