What is the Least Common Multiple of 85670 and 85687?

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 85670 and 85687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85670 and 85687, than apply into the LCM equation.

GCF(85670,85687) = 1
LCM(85670,85687) = ( 85670 × 85687) / 1
LCM(85670,85687) = 7340805290 / 1
LCM(85670,85687) = 7340805290

Least Common Multiple (LCM) of 85670 and 85687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85670 and 85687. First we will calculate the prime factors of 85670 and 85687.

Prime Factorization of 85670

Prime Factorization of 85687

Now multiplying the highest exponent prime factors to calculate the LCM of 85670 and 85687.

LCM(85670,85687) = 2¹ × 5¹ × 13¹ × 659¹ × 7¹ × 12241¹
LCM(85670,85687) = 7340805290