What is the Least Common Multiple of 95454 and 95466?

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 95454 and 95466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95454 and 95466, than apply into the LCM equation.

GCF(95454,95466) = 6
LCM(95454,95466) = ( 95454 × 95466) / 6
LCM(95454,95466) = 9112611564 / 6
LCM(95454,95466) = 1518768594

Least Common Multiple (LCM) of 95454 and 95466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95454 and 95466. First we will calculate the prime factors of 95454 and 95466.

Prime Factorization of 95454

Prime Factorization of 95466

Now multiplying the highest exponent prime factors to calculate the LCM of 95454 and 95466.

LCM(95454,95466) = 2¹ × 3² × 5303¹ × 7¹ × 2273¹
LCM(95454,95466) = 1518768594