What is the Least Common Multiple of 85646 and 85661?

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 85646 and 85661 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85646 and 85661, than apply into the LCM equation.

GCF(85646,85661) = 1
LCM(85646,85661) = ( 85646 × 85661) / 1
LCM(85646,85661) = 7336522006 / 1
LCM(85646,85661) = 7336522006

Least Common Multiple (LCM) of 85646 and 85661 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85646 and 85661. First we will calculate the prime factors of 85646 and 85661.

Prime Factorization of 85646

Prime Factorization of 85661

Now multiplying the highest exponent prime factors to calculate the LCM of 85646 and 85661.

LCM(85646,85661) = 2¹ × 11¹ × 17¹ × 229¹ × 85661¹
LCM(85646,85661) = 7336522006