What is the Least Common Multiple of 85355 and 85372?

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 85355 and 85372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85355 and 85372, than apply into the LCM equation.

GCF(85355,85372) = 1
LCM(85355,85372) = ( 85355 × 85372) / 1
LCM(85355,85372) = 7286927060 / 1
LCM(85355,85372) = 7286927060

Least Common Multiple (LCM) of 85355 and 85372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85355 and 85372. First we will calculate the prime factors of 85355 and 85372.

Prime Factorization of 85355

Prime Factorization of 85372

Now multiplying the highest exponent prime factors to calculate the LCM of 85355 and 85372.

LCM(85355,85372) = 5¹ × 43¹ × 397¹ × 2² × 7¹ × 3049¹
LCM(85355,85372) = 7286927060