What is the Least Common Multiple of 47586 and 47603?

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 47586 and 47603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47586 and 47603, than apply into the LCM equation.

GCF(47586,47603) = 1
LCM(47586,47603) = ( 47586 × 47603) / 1
LCM(47586,47603) = 2265236358 / 1
LCM(47586,47603) = 2265236358

Least Common Multiple (LCM) of 47586 and 47603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47586 and 47603. First we will calculate the prime factors of 47586 and 47603.

Prime Factorization of 47586

Prime Factorization of 47603

Now multiplying the highest exponent prime factors to calculate the LCM of 47586 and 47603.

LCM(47586,47603) = 2¹ × 3¹ × 7¹ × 11¹ × 103¹ × 181¹ × 263¹
LCM(47586,47603) = 2265236358