What is the Least Common Multiple of 43272 and 43280?

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 43272 and 43280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43272 and 43280, than apply into the LCM equation.

GCF(43272,43280) = 8
LCM(43272,43280) = ( 43272 × 43280) / 8
LCM(43272,43280) = 1872812160 / 8
LCM(43272,43280) = 234101520

Least Common Multiple (LCM) of 43272 and 43280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43272 and 43280. First we will calculate the prime factors of 43272 and 43280.

Prime Factorization of 43272

Prime Factorization of 43280

Now multiplying the highest exponent prime factors to calculate the LCM of 43272 and 43280.

LCM(43272,43280) = 2⁴ × 3² × 601¹ × 5¹ × 541¹
LCM(43272,43280) = 234101520