What is the Least Common Multiple of 95392 and 95411?

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 95392 and 95411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95392 and 95411, than apply into the LCM equation.

GCF(95392,95411) = 1
LCM(95392,95411) = ( 95392 × 95411) / 1
LCM(95392,95411) = 9101446112 / 1
LCM(95392,95411) = 9101446112

Least Common Multiple (LCM) of 95392 and 95411 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95392 and 95411. First we will calculate the prime factors of 95392 and 95411.

Prime Factorization of 95392

Prime Factorization of 95411

Now multiplying the highest exponent prime factors to calculate the LCM of 95392 and 95411.

LCM(95392,95411) = 2⁵ × 11¹ × 271¹ × 73¹ × 1307¹
LCM(95392,95411) = 9101446112