What is the Least Common Multiple of 32097 and 32101?

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 32097 and 32101 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32097 and 32101, than apply into the LCM equation.

GCF(32097,32101) = 1
LCM(32097,32101) = ( 32097 × 32101) / 1
LCM(32097,32101) = 1030345797 / 1
LCM(32097,32101) = 1030345797

Least Common Multiple (LCM) of 32097 and 32101 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32097 and 32101. First we will calculate the prime factors of 32097 and 32101.

Prime Factorization of 32097

Prime Factorization of 32101

Now multiplying the highest exponent prime factors to calculate the LCM of 32097 and 32101.

LCM(32097,32101) = 3¹ × 13¹ × 823¹ × 47¹ × 683¹
LCM(32097,32101) = 1030345797