What is the Least Common Multiple of 85435 and 85449?

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 85435 and 85449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85435 and 85449, than apply into the LCM equation.

GCF(85435,85449) = 7
LCM(85435,85449) = ( 85435 × 85449) / 7
LCM(85435,85449) = 7300335315 / 7
LCM(85435,85449) = 1042905045

Least Common Multiple (LCM) of 85435 and 85449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85435 and 85449. First we will calculate the prime factors of 85435 and 85449.

Prime Factorization of 85435

Prime Factorization of 85449

Now multiplying the highest exponent prime factors to calculate the LCM of 85435 and 85449.

LCM(85435,85449) = 5¹ × 7¹ × 2441¹ × 3¹ × 13¹ × 313¹
LCM(85435,85449) = 1042905045