What is the Least Common Multiple of 47596 and 47613?

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 47596 and 47613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47596 and 47613, than apply into the LCM equation.

GCF(47596,47613) = 1
LCM(47596,47613) = ( 47596 × 47613) / 1
LCM(47596,47613) = 2266188348 / 1
LCM(47596,47613) = 2266188348

Least Common Multiple (LCM) of 47596 and 47613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47596 and 47613. First we will calculate the prime factors of 47596 and 47613.

Prime Factorization of 47596

Prime Factorization of 47613

Now multiplying the highest exponent prime factors to calculate the LCM of 47596 and 47613.

LCM(47596,47613) = 2² × 73¹ × 163¹ × 3¹ × 59¹ × 269¹
LCM(47596,47613) = 2266188348