What is the Least Common Multiple of 34272 and 34280?

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 34272 and 34280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34272 and 34280, than apply into the LCM equation.

GCF(34272,34280) = 8
LCM(34272,34280) = ( 34272 × 34280) / 8
LCM(34272,34280) = 1174844160 / 8
LCM(34272,34280) = 146855520

Least Common Multiple (LCM) of 34272 and 34280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34272 and 34280. First we will calculate the prime factors of 34272 and 34280.

Prime Factorization of 34272

Prime Factorization of 34280

Now multiplying the highest exponent prime factors to calculate the LCM of 34272 and 34280.

LCM(34272,34280) = 2⁵ × 3² × 7¹ × 17¹ × 5¹ × 857¹
LCM(34272,34280) = 146855520