What is the Least Common Multiple of 47209 and 47216?

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 47209 and 47216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47209 and 47216, than apply into the LCM equation.

GCF(47209,47216) = 1
LCM(47209,47216) = ( 47209 × 47216) / 1
LCM(47209,47216) = 2229020144 / 1
LCM(47209,47216) = 2229020144

Least Common Multiple (LCM) of 47209 and 47216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47209 and 47216. First we will calculate the prime factors of 47209 and 47216.

Prime Factorization of 47209

Prime Factorization of 47216

Now multiplying the highest exponent prime factors to calculate the LCM of 47209 and 47216.

LCM(47209,47216) = 17¹ × 2777¹ × 2⁴ × 13¹ × 227¹
LCM(47209,47216) = 2229020144