What is the Least Common Multiple of 97280 and 97299?

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 97299 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 97299, than apply into the LCM equation.

GCF(97280,97299) = 19
LCM(97280,97299) = ( 97280 × 97299) / 19
LCM(97280,97299) = 9465246720 / 19
LCM(97280,97299) = 498170880

Least Common Multiple (LCM) of 97280 and 97299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97280 and 97299. First we will calculate the prime factors of 97280 and 97299.

Prime Factorization of 97280

Prime Factorization of 97299

Now multiplying the highest exponent prime factors to calculate the LCM of 97280 and 97299.

LCM(97280,97299) = 2¹⁰ × 5¹ × 19¹ × 3² × 569¹
LCM(97280,97299) = 498170880