What is the Least Common Multiple of 59275 and 59280?

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 59275 and 59280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59275 and 59280, than apply into the LCM equation.

GCF(59275,59280) = 5
LCM(59275,59280) = ( 59275 × 59280) / 5
LCM(59275,59280) = 3513822000 / 5
LCM(59275,59280) = 702764400

Least Common Multiple (LCM) of 59275 and 59280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59275 and 59280. First we will calculate the prime factors of 59275 and 59280.

Prime Factorization of 59275

Prime Factorization of 59280

Now multiplying the highest exponent prime factors to calculate the LCM of 59275 and 59280.

LCM(59275,59280) = 5² × 2371¹ × 2⁴ × 3¹ × 13¹ × 19¹
LCM(59275,59280) = 702764400