What is the Least Common Multiple of 19065 and 19074?

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 19065 and 19074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19065 and 19074, than apply into the LCM equation.

GCF(19065,19074) = 3
LCM(19065,19074) = ( 19065 × 19074) / 3
LCM(19065,19074) = 363645810 / 3
LCM(19065,19074) = 121215270

Least Common Multiple (LCM) of 19065 and 19074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19065 and 19074. First we will calculate the prime factors of 19065 and 19074.

Prime Factorization of 19065

Prime Factorization of 19074

Now multiplying the highest exponent prime factors to calculate the LCM of 19065 and 19074.

LCM(19065,19074) = 3¹ × 5¹ × 31¹ × 41¹ × 2¹ × 11¹ × 17²
LCM(19065,19074) = 121215270