What is the Least Common Multiple of 85660 and 85673?

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 85660 and 85673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85660 and 85673, than apply into the LCM equation.

GCF(85660,85673) = 1
LCM(85660,85673) = ( 85660 × 85673) / 1
LCM(85660,85673) = 7338749180 / 1
LCM(85660,85673) = 7338749180

Least Common Multiple (LCM) of 85660 and 85673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85660 and 85673. First we will calculate the prime factors of 85660 and 85673.

Prime Factorization of 85660

Prime Factorization of 85673

Now multiplying the highest exponent prime factors to calculate the LCM of 85660 and 85673.

LCM(85660,85673) = 2² × 5¹ × 4283¹ × 7¹ × 12239¹
LCM(85660,85673) = 7338749180