What is the Least Common Multiple of 97868 and 97873?

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 97868 and 97873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97868 and 97873, than apply into the LCM equation.

GCF(97868,97873) = 1
LCM(97868,97873) = ( 97868 × 97873) / 1
LCM(97868,97873) = 9578634764 / 1
LCM(97868,97873) = 9578634764

Least Common Multiple (LCM) of 97868 and 97873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97868 and 97873. First we will calculate the prime factors of 97868 and 97873.

Prime Factorization of 97868

Prime Factorization of 97873

Now multiplying the highest exponent prime factors to calculate the LCM of 97868 and 97873.

LCM(97868,97873) = 2² × 43¹ × 569¹ × 97¹ × 1009¹
LCM(97868,97873) = 9578634764