What is the Least Common Multiple of 47264 and 47282?

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 47264 and 47282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47264 and 47282, than apply into the LCM equation.

GCF(47264,47282) = 2
LCM(47264,47282) = ( 47264 × 47282) / 2
LCM(47264,47282) = 2234736448 / 2
LCM(47264,47282) = 1117368224

Least Common Multiple (LCM) of 47264 and 47282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47264 and 47282. First we will calculate the prime factors of 47264 and 47282.

Prime Factorization of 47264

Prime Factorization of 47282

Now multiplying the highest exponent prime factors to calculate the LCM of 47264 and 47282.

LCM(47264,47282) = 2⁵ × 7¹ × 211¹ × 47¹ × 503¹
LCM(47264,47282) = 1117368224