What is the Least Common Multiple of 47493 and 47506?

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 47493 and 47506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47493 and 47506, than apply into the LCM equation.

GCF(47493,47506) = 1
LCM(47493,47506) = ( 47493 × 47506) / 1
LCM(47493,47506) = 2256202458 / 1
LCM(47493,47506) = 2256202458

Least Common Multiple (LCM) of 47493 and 47506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47493 and 47506. First we will calculate the prime factors of 47493 and 47506.

Prime Factorization of 47493

Prime Factorization of 47506

Now multiplying the highest exponent prime factors to calculate the LCM of 47493 and 47506.

LCM(47493,47506) = 3³ × 1759¹ × 2¹ × 23753¹
LCM(47493,47506) = 2256202458