What is the Least Common Multiple of 75310 and 75330?

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 75310 and 75330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75310 and 75330, than apply into the LCM equation.

GCF(75310,75330) = 10
LCM(75310,75330) = ( 75310 × 75330) / 10
LCM(75310,75330) = 5673102300 / 10
LCM(75310,75330) = 567310230

Least Common Multiple (LCM) of 75310 and 75330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75310 and 75330. First we will calculate the prime factors of 75310 and 75330.

Prime Factorization of 75310

Prime Factorization of 75330

Now multiplying the highest exponent prime factors to calculate the LCM of 75310 and 75330.

LCM(75310,75330) = 2¹ × 5¹ × 17¹ × 443¹ × 3⁵ × 31¹
LCM(75310,75330) = 567310230