What is the Least Common Multiple of 58195 and 58211?

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 58195 and 58211 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58195 and 58211, than apply into the LCM equation.

GCF(58195,58211) = 1
LCM(58195,58211) = ( 58195 × 58211) / 1
LCM(58195,58211) = 3387589145 / 1
LCM(58195,58211) = 3387589145

Least Common Multiple (LCM) of 58195 and 58211 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58195 and 58211. First we will calculate the prime factors of 58195 and 58211.

Prime Factorization of 58195

Prime Factorization of 58211

Now multiplying the highest exponent prime factors to calculate the LCM of 58195 and 58211.

LCM(58195,58211) = 5¹ × 103¹ × 113¹ × 58211¹
LCM(58195,58211) = 3387589145