What is the Least Common Multiple of 47595 and 47614?

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 47595 and 47614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47595 and 47614, than apply into the LCM equation.

GCF(47595,47614) = 19
LCM(47595,47614) = ( 47595 × 47614) / 19
LCM(47595,47614) = 2266188330 / 19
LCM(47595,47614) = 119273070

Least Common Multiple (LCM) of 47595 and 47614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47595 and 47614. First we will calculate the prime factors of 47595 and 47614.

Prime Factorization of 47595

Prime Factorization of 47614

Now multiplying the highest exponent prime factors to calculate the LCM of 47595 and 47614.

LCM(47595,47614) = 3¹ × 5¹ × 19¹ × 167¹ × 2¹ × 7¹ × 179¹
LCM(47595,47614) = 119273070