What is the Least Common Multiple of 86272 and 86285?

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 86272 and 86285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86272 and 86285, than apply into the LCM equation.

GCF(86272,86285) = 1
LCM(86272,86285) = ( 86272 × 86285) / 1
LCM(86272,86285) = 7443979520 / 1
LCM(86272,86285) = 7443979520

Least Common Multiple (LCM) of 86272 and 86285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86272 and 86285. First we will calculate the prime factors of 86272 and 86285.

Prime Factorization of 86272

Prime Factorization of 86285

Now multiplying the highest exponent prime factors to calculate the LCM of 86272 and 86285.

LCM(86272,86285) = 2⁸ × 337¹ × 5¹ × 17257¹
LCM(86272,86285) = 7443979520