What is the Least Common Multiple of 48200 and 48213?

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 48200 and 48213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48200 and 48213, than apply into the LCM equation.

GCF(48200,48213) = 1
LCM(48200,48213) = ( 48200 × 48213) / 1
LCM(48200,48213) = 2323866600 / 1
LCM(48200,48213) = 2323866600

Least Common Multiple (LCM) of 48200 and 48213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48200 and 48213. First we will calculate the prime factors of 48200 and 48213.

Prime Factorization of 48200

Prime Factorization of 48213

Now multiplying the highest exponent prime factors to calculate the LCM of 48200 and 48213.

LCM(48200,48213) = 2³ × 5² × 241¹ × 3² × 11¹ × 487¹
LCM(48200,48213) = 2323866600