What is the Least Common Multiple of 85279 and 85285?

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 85279 and 85285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85279 and 85285, than apply into the LCM equation.

GCF(85279,85285) = 1
LCM(85279,85285) = ( 85279 × 85285) / 1
LCM(85279,85285) = 7273019515 / 1
LCM(85279,85285) = 7273019515

Least Common Multiple (LCM) of 85279 and 85285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85279 and 85285. First we will calculate the prime factors of 85279 and 85285.

Prime Factorization of 85279

Prime Factorization of 85285

Now multiplying the highest exponent prime factors to calculate the LCM of 85279 and 85285.

LCM(85279,85285) = 107¹ × 797¹ × 5¹ × 37¹ × 461¹
LCM(85279,85285) = 7273019515