What is the Least Common Multiple of 19251 and 19258?

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 19251 and 19258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19251 and 19258, than apply into the LCM equation.

GCF(19251,19258) = 1
LCM(19251,19258) = ( 19251 × 19258) / 1
LCM(19251,19258) = 370735758 / 1
LCM(19251,19258) = 370735758

Least Common Multiple (LCM) of 19251 and 19258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19251 and 19258. First we will calculate the prime factors of 19251 and 19258.

Prime Factorization of 19251

Prime Factorization of 19258

Now multiplying the highest exponent prime factors to calculate the LCM of 19251 and 19258.

LCM(19251,19258) = 3³ × 23¹ × 31¹ × 2¹ × 9629¹
LCM(19251,19258) = 370735758