What is the Least Common Multiple of 48500 and 48505?

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 48500 and 48505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48500 and 48505, than apply into the LCM equation.

GCF(48500,48505) = 5
LCM(48500,48505) = ( 48500 × 48505) / 5
LCM(48500,48505) = 2352492500 / 5
LCM(48500,48505) = 470498500

Least Common Multiple (LCM) of 48500 and 48505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48500 and 48505. First we will calculate the prime factors of 48500 and 48505.

Prime Factorization of 48500

Prime Factorization of 48505

Now multiplying the highest exponent prime factors to calculate the LCM of 48500 and 48505.

LCM(48500,48505) = 2² × 5³ × 97¹ × 89¹ × 109¹
LCM(48500,48505) = 470498500