What is the Least Common Multiple of 75219 and 75235?

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 75219 and 75235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75219 and 75235, than apply into the LCM equation.

GCF(75219,75235) = 1
LCM(75219,75235) = ( 75219 × 75235) / 1
LCM(75219,75235) = 5659101465 / 1
LCM(75219,75235) = 5659101465

Least Common Multiple (LCM) of 75219 and 75235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75219 and 75235. First we will calculate the prime factors of 75219 and 75235.

Prime Factorization of 75219

Prime Factorization of 75235

Now multiplying the highest exponent prime factors to calculate the LCM of 75219 and 75235.

LCM(75219,75235) = 3¹ × 25073¹ × 5¹ × 41¹ × 367¹
LCM(75219,75235) = 5659101465