What is the Least Common Multiple of 19058 and 19077?

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 19058 and 19077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19058 and 19077, than apply into the LCM equation.

GCF(19058,19077) = 1
LCM(19058,19077) = ( 19058 × 19077) / 1
LCM(19058,19077) = 363569466 / 1
LCM(19058,19077) = 363569466

Least Common Multiple (LCM) of 19058 and 19077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19058 and 19077. First we will calculate the prime factors of 19058 and 19077.

Prime Factorization of 19058

Prime Factorization of 19077

Now multiplying the highest exponent prime factors to calculate the LCM of 19058 and 19077.

LCM(19058,19077) = 2¹ × 13¹ × 733¹ × 3¹ × 6359¹
LCM(19058,19077) = 363569466