What is the Least Common Multiple of 95491 and 95497?

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 95491 and 95497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95491 and 95497, than apply into the LCM equation.

GCF(95491,95497) = 1
LCM(95491,95497) = ( 95491 × 95497) / 1
LCM(95491,95497) = 9119104027 / 1
LCM(95491,95497) = 9119104027

Least Common Multiple (LCM) of 95491 and 95497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95491 and 95497. First we will calculate the prime factors of 95491 and 95497.

Prime Factorization of 95491

Prime Factorization of 95497

Now multiplying the highest exponent prime factors to calculate the LCM of 95491 and 95497.

LCM(95491,95497) = 11¹ × 8681¹ × 29¹ × 37¹ × 89¹
LCM(95491,95497) = 9119104027