What is the Least Common Multiple of 97993 and 97997?

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 97993 and 97997 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97993 and 97997, than apply into the LCM equation.

GCF(97993,97997) = 1
LCM(97993,97997) = ( 97993 × 97997) / 1
LCM(97993,97997) = 9603020021 / 1
LCM(97993,97997) = 9603020021

Least Common Multiple (LCM) of 97993 and 97997 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97993 and 97997. First we will calculate the prime factors of 97993 and 97997.

Prime Factorization of 97993

Prime Factorization of 97997

Now multiplying the highest exponent prime factors to calculate the LCM of 97993 and 97997.

LCM(97993,97997) = 7¹ × 13999¹ × 43² × 53¹
LCM(97993,97997) = 9603020021