What is the Least Common Multiple of 8262 and 8272?

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 8262 and 8272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8262 and 8272, than apply into the LCM equation.

GCF(8262,8272) = 2
LCM(8262,8272) = ( 8262 × 8272) / 2
LCM(8262,8272) = 68343264 / 2
LCM(8262,8272) = 34171632

Least Common Multiple (LCM) of 8262 and 8272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8262 and 8272. First we will calculate the prime factors of 8262 and 8272.

Prime Factorization of 8262

Prime Factorization of 8272

Now multiplying the highest exponent prime factors to calculate the LCM of 8262 and 8272.

LCM(8262,8272) = 2⁴ × 3⁵ × 17¹ × 11¹ × 47¹
LCM(8262,8272) = 34171632