What is the Least Common Multiple of 97088 and 97104?

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 97088 and 97104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97088 and 97104, than apply into the LCM equation.

GCF(97088,97104) = 16
LCM(97088,97104) = ( 97088 × 97104) / 16
LCM(97088,97104) = 9427633152 / 16
LCM(97088,97104) = 589227072

Least Common Multiple (LCM) of 97088 and 97104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97088 and 97104. First we will calculate the prime factors of 97088 and 97104.

Prime Factorization of 97088

Prime Factorization of 97104

Now multiplying the highest exponent prime factors to calculate the LCM of 97088 and 97104.

LCM(97088,97104) = 2⁶ × 37¹ × 41¹ × 3¹ × 7¹ × 17²
LCM(97088,97104) = 589227072