What is the Least Common Multiple of 47596 and 47609?

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 47609 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 47609, than apply into the LCM equation.

GCF(47596,47609) = 1
LCM(47596,47609) = ( 47596 × 47609) / 1
LCM(47596,47609) = 2265997964 / 1
LCM(47596,47609) = 2265997964

Least Common Multiple (LCM) of 47596 and 47609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47596 and 47609. First we will calculate the prime factors of 47596 and 47609.

Prime Factorization of 47596

Prime Factorization of 47609

Now multiplying the highest exponent prime factors to calculate the LCM of 47596 and 47609.

LCM(47596,47609) = 2² × 73¹ × 163¹ × 47609¹
LCM(47596,47609) = 2265997964