What is the Least Common Multiple of 43280 and 43285?

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 43280 and 43285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43280 and 43285, than apply into the LCM equation.

GCF(43280,43285) = 5
LCM(43280,43285) = ( 43280 × 43285) / 5
LCM(43280,43285) = 1873374800 / 5
LCM(43280,43285) = 374674960

Least Common Multiple (LCM) of 43280 and 43285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43280 and 43285. First we will calculate the prime factors of 43280 and 43285.

Prime Factorization of 43280

Prime Factorization of 43285

Now multiplying the highest exponent prime factors to calculate the LCM of 43280 and 43285.

LCM(43280,43285) = 2⁴ × 5¹ × 541¹ × 11¹ × 787¹
LCM(43280,43285) = 374674960