What is the Least Common Multiple of 97384 and 97404?

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 97384 and 97404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97384 and 97404, than apply into the LCM equation.

GCF(97384,97404) = 4
LCM(97384,97404) = ( 97384 × 97404) / 4
LCM(97384,97404) = 9485591136 / 4
LCM(97384,97404) = 2371397784

Least Common Multiple (LCM) of 97384 and 97404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97384 and 97404. First we will calculate the prime factors of 97384 and 97404.

Prime Factorization of 97384

Prime Factorization of 97404

Now multiplying the highest exponent prime factors to calculate the LCM of 97384 and 97404.

LCM(97384,97404) = 2³ × 7¹ × 37¹ × 47¹ × 3¹ × 8117¹
LCM(97384,97404) = 2371397784