What is the Least Common Multiple of 95514 and 95530?

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 95514 and 95530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95514 and 95530, than apply into the LCM equation.

GCF(95514,95530) = 2
LCM(95514,95530) = ( 95514 × 95530) / 2
LCM(95514,95530) = 9124452420 / 2
LCM(95514,95530) = 4562226210

Least Common Multiple (LCM) of 95514 and 95530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95514 and 95530. First we will calculate the prime factors of 95514 and 95530.

Prime Factorization of 95514

Prime Factorization of 95530

Now multiplying the highest exponent prime factors to calculate the LCM of 95514 and 95530.

LCM(95514,95530) = 2¹ × 3¹ × 15919¹ × 5¹ × 41¹ × 233¹
LCM(95514,95530) = 4562226210