What is the Least Common Multiple of 97280 and 97284?

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 97280 and 97284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97280 and 97284, than apply into the LCM equation.

GCF(97280,97284) = 4
LCM(97280,97284) = ( 97280 × 97284) / 4
LCM(97280,97284) = 9463787520 / 4
LCM(97280,97284) = 2365946880

Least Common Multiple (LCM) of 97280 and 97284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97280 and 97284. First we will calculate the prime factors of 97280 and 97284.

Prime Factorization of 97280

Prime Factorization of 97284

Now multiplying the highest exponent prime factors to calculate the LCM of 97280 and 97284.

LCM(97280,97284) = 2¹⁰ × 5¹ × 19¹ × 3¹ × 11² × 67¹
LCM(97280,97284) = 2365946880