What is the Least Common Multiple of 97104 and 97119?

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 97104 and 97119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97104 and 97119, than apply into the LCM equation.

GCF(97104,97119) = 3
LCM(97104,97119) = ( 97104 × 97119) / 3
LCM(97104,97119) = 9430643376 / 3
LCM(97104,97119) = 3143547792

Least Common Multiple (LCM) of 97104 and 97119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97104 and 97119. First we will calculate the prime factors of 97104 and 97119.

Prime Factorization of 97104

Prime Factorization of 97119

Now multiplying the highest exponent prime factors to calculate the LCM of 97104 and 97119.

LCM(97104,97119) = 2⁴ × 3⁴ × 7¹ × 17² × 11¹ × 109¹
LCM(97104,97119) = 3143547792