What is the Least Common Multiple of 81604 and 81616?

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 81604 and 81616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81604 and 81616, than apply into the LCM equation.

GCF(81604,81616) = 4
LCM(81604,81616) = ( 81604 × 81616) / 4
LCM(81604,81616) = 6660192064 / 4
LCM(81604,81616) = 1665048016

Least Common Multiple (LCM) of 81604 and 81616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81604 and 81616. First we will calculate the prime factors of 81604 and 81616.

Prime Factorization of 81604

Prime Factorization of 81616

Now multiplying the highest exponent prime factors to calculate the LCM of 81604 and 81616.

LCM(81604,81616) = 2⁴ × 23¹ × 887¹ × 5101¹
LCM(81604,81616) = 1665048016