What is the Least Common Multiple of 47216 and 47236?

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 47216 and 47236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47216 and 47236, than apply into the LCM equation.

GCF(47216,47236) = 4
LCM(47216,47236) = ( 47216 × 47236) / 4
LCM(47216,47236) = 2230294976 / 4
LCM(47216,47236) = 557573744

Least Common Multiple (LCM) of 47216 and 47236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47216 and 47236. First we will calculate the prime factors of 47216 and 47236.

Prime Factorization of 47216

Prime Factorization of 47236

Now multiplying the highest exponent prime factors to calculate the LCM of 47216 and 47236.

LCM(47216,47236) = 2⁴ × 13¹ × 227¹ × 7² × 241¹
LCM(47216,47236) = 557573744