What is the Least Common Multiple of 97993 and 98008?

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 98008 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 98008, than apply into the LCM equation.

GCF(97993,98008) = 1
LCM(97993,98008) = ( 97993 × 98008) / 1
LCM(97993,98008) = 9604097944 / 1
LCM(97993,98008) = 9604097944

Least Common Multiple (LCM) of 97993 and 98008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97993 and 98008. First we will calculate the prime factors of 97993 and 98008.

Prime Factorization of 97993

Prime Factorization of 98008

Now multiplying the highest exponent prime factors to calculate the LCM of 97993 and 98008.

LCM(97993,98008) = 7¹ × 13999¹ × 2³ × 12251¹
LCM(97993,98008) = 9604097944