What is the Least Common Multiple of 47210 and 47223?

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 47210 and 47223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47210 and 47223, than apply into the LCM equation.

GCF(47210,47223) = 1
LCM(47210,47223) = ( 47210 × 47223) / 1
LCM(47210,47223) = 2229397830 / 1
LCM(47210,47223) = 2229397830

Least Common Multiple (LCM) of 47210 and 47223 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47210 and 47223. First we will calculate the prime factors of 47210 and 47223.

Prime Factorization of 47210

Prime Factorization of 47223

Now multiplying the highest exponent prime factors to calculate the LCM of 47210 and 47223.

LCM(47210,47223) = 2¹ × 5¹ × 4721¹ × 3⁴ × 11¹ × 53¹
LCM(47210,47223) = 2229397830