What is the Least Common Multiple of 47550 and 47569?

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 47550 and 47569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47550 and 47569, than apply into the LCM equation.

GCF(47550,47569) = 1
LCM(47550,47569) = ( 47550 × 47569) / 1
LCM(47550,47569) = 2261905950 / 1
LCM(47550,47569) = 2261905950

Least Common Multiple (LCM) of 47550 and 47569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47550 and 47569. First we will calculate the prime factors of 47550 and 47569.

Prime Factorization of 47550

Prime Factorization of 47569

Now multiplying the highest exponent prime factors to calculate the LCM of 47550 and 47569.

LCM(47550,47569) = 2¹ × 3¹ × 5² × 317¹ × 47569¹
LCM(47550,47569) = 2261905950