What is the Least Common Multiple of 97165 and 97181?

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 97165 and 97181 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97165 and 97181, than apply into the LCM equation.

GCF(97165,97181) = 1
LCM(97165,97181) = ( 97165 × 97181) / 1
LCM(97165,97181) = 9442591865 / 1
LCM(97165,97181) = 9442591865

Least Common Multiple (LCM) of 97165 and 97181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97165 and 97181. First we will calculate the prime factors of 97165 and 97181.

Prime Factorization of 97165

Prime Factorization of 97181

Now multiplying the highest exponent prime factors to calculate the LCM of 97165 and 97181.

LCM(97165,97181) = 5¹ × 19433¹ × 7¹ × 13883¹
LCM(97165,97181) = 9442591865