What is the Least Common Multiple of 97284 and 97290?

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 97284 and 97290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97284 and 97290, than apply into the LCM equation.

GCF(97284,97290) = 6
LCM(97284,97290) = ( 97284 × 97290) / 6
LCM(97284,97290) = 9464760360 / 6
LCM(97284,97290) = 1577460060

Least Common Multiple (LCM) of 97284 and 97290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97284 and 97290. First we will calculate the prime factors of 97284 and 97290.

Prime Factorization of 97284

Prime Factorization of 97290

Now multiplying the highest exponent prime factors to calculate the LCM of 97284 and 97290.

LCM(97284,97290) = 2² × 3² × 11² × 67¹ × 5¹ × 23¹ × 47¹
LCM(97284,97290) = 1577460060