What is the Least Common Multiple of 47509 and 47524?

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 47509 and 47524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47509 and 47524, than apply into the LCM equation.

GCF(47509,47524) = 1
LCM(47509,47524) = ( 47509 × 47524) / 1
LCM(47509,47524) = 2257817716 / 1
LCM(47509,47524) = 2257817716

Least Common Multiple (LCM) of 47509 and 47524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47509 and 47524. First we will calculate the prime factors of 47509 and 47524.

Prime Factorization of 47509

Prime Factorization of 47524

Now multiplying the highest exponent prime factors to calculate the LCM of 47509 and 47524.

LCM(47509,47524) = 7¹ × 11¹ × 617¹ × 2² × 109²
LCM(47509,47524) = 2257817716