What is the Least Common Multiple of 58219 and 58232?

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 58219 and 58232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58219 and 58232, than apply into the LCM equation.

GCF(58219,58232) = 1
LCM(58219,58232) = ( 58219 × 58232) / 1
LCM(58219,58232) = 3390208808 / 1
LCM(58219,58232) = 3390208808

Least Common Multiple (LCM) of 58219 and 58232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58219 and 58232. First we will calculate the prime factors of 58219 and 58232.

Prime Factorization of 58219

Prime Factorization of 58232

Now multiplying the highest exponent prime factors to calculate the LCM of 58219 and 58232.

LCM(58219,58232) = 7¹ × 8317¹ × 2³ × 29¹ × 251¹
LCM(58219,58232) = 3390208808