What is the Least Common Multiple of 97194 and 97200?

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 97194 and 97200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97194 and 97200, than apply into the LCM equation.

GCF(97194,97200) = 6
LCM(97194,97200) = ( 97194 × 97200) / 6
LCM(97194,97200) = 9447256800 / 6
LCM(97194,97200) = 1574542800

Least Common Multiple (LCM) of 97194 and 97200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97194 and 97200. First we will calculate the prime factors of 97194 and 97200.

Prime Factorization of 97194

Prime Factorization of 97200

Now multiplying the highest exponent prime factors to calculate the LCM of 97194 and 97200.

LCM(97194,97200) = 2⁴ × 3⁵ × 97¹ × 167¹ × 5²
LCM(97194,97200) = 1574542800