What is the Least Common Multiple of 95494 and 95514?

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 95494 and 95514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95494 and 95514, than apply into the LCM equation.

GCF(95494,95514) = 2
LCM(95494,95514) = ( 95494 × 95514) / 2
LCM(95494,95514) = 9121013916 / 2
LCM(95494,95514) = 4560506958

Least Common Multiple (LCM) of 95494 and 95514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95494 and 95514. First we will calculate the prime factors of 95494 and 95514.

Prime Factorization of 95494

Prime Factorization of 95514

Now multiplying the highest exponent prime factors to calculate the LCM of 95494 and 95514.

LCM(95494,95514) = 2¹ × 7¹ × 19¹ × 359¹ × 3¹ × 15919¹
LCM(95494,95514) = 4560506958