What is the Least Common Multiple of 82272 and 82278?

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 82272 and 82278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82272 and 82278, than apply into the LCM equation.

GCF(82272,82278) = 6
LCM(82272,82278) = ( 82272 × 82278) / 6
LCM(82272,82278) = 6769175616 / 6
LCM(82272,82278) = 1128195936

Least Common Multiple (LCM) of 82272 and 82278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82272 and 82278. First we will calculate the prime factors of 82272 and 82278.

Prime Factorization of 82272

Prime Factorization of 82278

Now multiplying the highest exponent prime factors to calculate the LCM of 82272 and 82278.

LCM(82272,82278) = 2⁵ × 3² × 857¹ × 7¹ × 653¹
LCM(82272,82278) = 1128195936