What is the Least Common Multiple of 19258 and 19265?

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 19258 and 19265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19258 and 19265, than apply into the LCM equation.

GCF(19258,19265) = 1
LCM(19258,19265) = ( 19258 × 19265) / 1
LCM(19258,19265) = 371005370 / 1
LCM(19258,19265) = 371005370

Least Common Multiple (LCM) of 19258 and 19265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19258 and 19265. First we will calculate the prime factors of 19258 and 19265.

Prime Factorization of 19258

Prime Factorization of 19265

Now multiplying the highest exponent prime factors to calculate the LCM of 19258 and 19265.

LCM(19258,19265) = 2¹ × 9629¹ × 5¹ × 3853¹
LCM(19258,19265) = 371005370