What is the Least Common Multiple of 8272 and 8278?

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 8278 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 8278, than apply into the LCM equation.

GCF(8272,8278) = 2
LCM(8272,8278) = ( 8272 × 8278) / 2
LCM(8272,8278) = 68475616 / 2
LCM(8272,8278) = 34237808

Least Common Multiple (LCM) of 8272 and 8278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8272 and 8278. First we will calculate the prime factors of 8272 and 8278.

Prime Factorization of 8272

Prime Factorization of 8278

Now multiplying the highest exponent prime factors to calculate the LCM of 8272 and 8278.

LCM(8272,8278) = 2⁴ × 11¹ × 47¹ × 4139¹
LCM(8272,8278) = 34237808