What is the Least Common Multiple of 97284 and 97303?

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 97303 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 97303, than apply into the LCM equation.

GCF(97284,97303) = 1
LCM(97284,97303) = ( 97284 × 97303) / 1
LCM(97284,97303) = 9466025052 / 1
LCM(97284,97303) = 9466025052

Least Common Multiple (LCM) of 97284 and 97303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97284 and 97303. First we will calculate the prime factors of 97284 and 97303.

Prime Factorization of 97284

Prime Factorization of 97303

Now multiplying the highest exponent prime factors to calculate the LCM of 97284 and 97303.

LCM(97284,97303) = 2² × 3¹ × 11² × 67¹ × 97303¹
LCM(97284,97303) = 9466025052