What is the Least Common Multiple of 74219 and 74232?

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 74219 and 74232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74219 and 74232, than apply into the LCM equation.

GCF(74219,74232) = 1
LCM(74219,74232) = ( 74219 × 74232) / 1
LCM(74219,74232) = 5509424808 / 1
LCM(74219,74232) = 5509424808

Least Common Multiple (LCM) of 74219 and 74232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74219 and 74232. First we will calculate the prime factors of 74219 and 74232.

Prime Factorization of 74219

Prime Factorization of 74232

Now multiplying the highest exponent prime factors to calculate the LCM of 74219 and 74232.

LCM(74219,74232) = 74219¹ × 2³ × 3² × 1031¹
LCM(74219,74232) = 5509424808