What is the Least Common Multiple of 85635 and 85639?

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 85635 and 85639 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85635 and 85639, than apply into the LCM equation.

GCF(85635,85639) = 1
LCM(85635,85639) = ( 85635 × 85639) / 1
LCM(85635,85639) = 7333695765 / 1
LCM(85635,85639) = 7333695765

Least Common Multiple (LCM) of 85635 and 85639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85635 and 85639. First we will calculate the prime factors of 85635 and 85639.

Prime Factorization of 85635

Prime Factorization of 85639

Now multiplying the highest exponent prime factors to calculate the LCM of 85635 and 85639.

LCM(85635,85639) = 3² × 5¹ × 11¹ × 173¹ × 85639¹
LCM(85635,85639) = 7333695765