What is the Least Common Multiple of 85055 and 85072?

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 85055 and 85072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85055 and 85072, than apply into the LCM equation.

GCF(85055,85072) = 1
LCM(85055,85072) = ( 85055 × 85072) / 1
LCM(85055,85072) = 7235798960 / 1
LCM(85055,85072) = 7235798960

Least Common Multiple (LCM) of 85055 and 85072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85055 and 85072. First we will calculate the prime factors of 85055 and 85072.

Prime Factorization of 85055

Prime Factorization of 85072

Now multiplying the highest exponent prime factors to calculate the LCM of 85055 and 85072.

LCM(85055,85072) = 5¹ × 17011¹ × 2⁴ × 13¹ × 409¹
LCM(85055,85072) = 7235798960