What is the Least Common Multiple of 85491 and 85509?

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 85491 and 85509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85491 and 85509, than apply into the LCM equation.

GCF(85491,85509) = 9
LCM(85491,85509) = ( 85491 × 85509) / 9
LCM(85491,85509) = 7310249919 / 9
LCM(85491,85509) = 812249991

Least Common Multiple (LCM) of 85491 and 85509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85491 and 85509. First we will calculate the prime factors of 85491 and 85509.

Prime Factorization of 85491

Prime Factorization of 85509

Now multiplying the highest exponent prime factors to calculate the LCM of 85491 and 85509.

LCM(85491,85509) = 3³ × 7¹ × 23¹ × 59¹ × 3167¹
LCM(85491,85509) = 812249991