What is the Least Common Multiple of 81590 and 81602?

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 81590 and 81602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81590 and 81602, than apply into the LCM equation.

GCF(81590,81602) = 2
LCM(81590,81602) = ( 81590 × 81602) / 2
LCM(81590,81602) = 6657907180 / 2
LCM(81590,81602) = 3328953590

Least Common Multiple (LCM) of 81590 and 81602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81590 and 81602. First we will calculate the prime factors of 81590 and 81602.

Prime Factorization of 81590

Prime Factorization of 81602

Now multiplying the highest exponent prime factors to calculate the LCM of 81590 and 81602.

LCM(81590,81602) = 2¹ × 5¹ × 41¹ × 199¹ × 40801¹
LCM(81590,81602) = 3328953590