What is the Least Common Multiple of 47200 and 47210?

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 47210 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 47210, than apply into the LCM equation.

GCF(47200,47210) = 10
LCM(47200,47210) = ( 47200 × 47210) / 10
LCM(47200,47210) = 2228312000 / 10
LCM(47200,47210) = 222831200

Least Common Multiple (LCM) of 47200 and 47210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47200 and 47210. First we will calculate the prime factors of 47200 and 47210.

Prime Factorization of 47200

Prime Factorization of 47210

Now multiplying the highest exponent prime factors to calculate the LCM of 47200 and 47210.

LCM(47200,47210) = 2⁵ × 5² × 59¹ × 4721¹
LCM(47200,47210) = 222831200