What is the Least Common Multiple of 8272 and 8282?

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 8272 and 8282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8272 and 8282, than apply into the LCM equation.

GCF(8272,8282) = 2
LCM(8272,8282) = ( 8272 × 8282) / 2
LCM(8272,8282) = 68508704 / 2
LCM(8272,8282) = 34254352

Least Common Multiple (LCM) of 8272 and 8282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8272 and 8282. First we will calculate the prime factors of 8272 and 8282.

Prime Factorization of 8272

Prime Factorization of 8282

Now multiplying the highest exponent prime factors to calculate the LCM of 8272 and 8282.

LCM(8272,8282) = 2⁴ × 11¹ × 47¹ × 41¹ × 101¹
LCM(8272,8282) = 34254352