What is the Least Common Multiple of 97263 and 97280?

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 97263 and 97280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97263 and 97280, than apply into the LCM equation.

GCF(97263,97280) = 1
LCM(97263,97280) = ( 97263 × 97280) / 1
LCM(97263,97280) = 9461744640 / 1
LCM(97263,97280) = 9461744640

Least Common Multiple (LCM) of 97263 and 97280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97263 and 97280. First we will calculate the prime factors of 97263 and 97280.

Prime Factorization of 97263

Prime Factorization of 97280

Now multiplying the highest exponent prime factors to calculate the LCM of 97263 and 97280.

LCM(97263,97280) = 3² × 101¹ × 107¹ × 2¹⁰ × 5¹ × 19¹
LCM(97263,97280) = 9461744640