What is the Least Common Multiple of 47200 and 47213?

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 47200 and 47213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47200 and 47213, than apply into the LCM equation.

GCF(47200,47213) = 1
LCM(47200,47213) = ( 47200 × 47213) / 1
LCM(47200,47213) = 2228453600 / 1
LCM(47200,47213) = 2228453600

Least Common Multiple (LCM) of 47200 and 47213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47200 and 47213. First we will calculate the prime factors of 47200 and 47213.

Prime Factorization of 47200

Prime Factorization of 47213

Now multiplying the highest exponent prime factors to calculate the LCM of 47200 and 47213.

LCM(47200,47213) = 2⁵ × 5² × 59¹ × 31¹ × 1523¹
LCM(47200,47213) = 2228453600