What is the Least Common Multiple of 97110 and 97123?

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 97110 and 97123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97110 and 97123, than apply into the LCM equation.

GCF(97110,97123) = 13
LCM(97110,97123) = ( 97110 × 97123) / 13
LCM(97110,97123) = 9431614530 / 13
LCM(97110,97123) = 725508810

Least Common Multiple (LCM) of 97110 and 97123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97110 and 97123. First we will calculate the prime factors of 97110 and 97123.

Prime Factorization of 97110

Prime Factorization of 97123

Now multiplying the highest exponent prime factors to calculate the LCM of 97110 and 97123.

LCM(97110,97123) = 2¹ × 3² × 5¹ × 13¹ × 83¹ × 31¹ × 241¹
LCM(97110,97123) = 725508810