What is the Least Common Multiple of 47500 and 47505?

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 47500 and 47505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47500 and 47505, than apply into the LCM equation.

GCF(47500,47505) = 5
LCM(47500,47505) = ( 47500 × 47505) / 5
LCM(47500,47505) = 2256487500 / 5
LCM(47500,47505) = 451297500

Least Common Multiple (LCM) of 47500 and 47505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47500 and 47505. First we will calculate the prime factors of 47500 and 47505.

Prime Factorization of 47500

Prime Factorization of 47505

Now multiplying the highest exponent prime factors to calculate the LCM of 47500 and 47505.

LCM(47500,47505) = 2² × 5⁴ × 19¹ × 3¹ × 3167¹
LCM(47500,47505) = 451297500