What is the Least Common Multiple of 97991 and 98005?

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 97991 and 98005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97991 and 98005, than apply into the LCM equation.

GCF(97991,98005) = 1
LCM(97991,98005) = ( 97991 × 98005) / 1
LCM(97991,98005) = 9603607955 / 1
LCM(97991,98005) = 9603607955

Least Common Multiple (LCM) of 97991 and 98005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97991 and 98005. First we will calculate the prime factors of 97991 and 98005.

Prime Factorization of 97991

Prime Factorization of 98005

Now multiplying the highest exponent prime factors to calculate the LCM of 97991 and 98005.

LCM(97991,98005) = 29¹ × 31¹ × 109¹ × 5¹ × 17¹ × 1153¹
LCM(97991,98005) = 9603607955