What is the Least Common Multiple of 19578 and 19585?

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 19578 and 19585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19578 and 19585, than apply into the LCM equation.

GCF(19578,19585) = 1
LCM(19578,19585) = ( 19578 × 19585) / 1
LCM(19578,19585) = 383435130 / 1
LCM(19578,19585) = 383435130

Least Common Multiple (LCM) of 19578 and 19585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19578 and 19585. First we will calculate the prime factors of 19578 and 19585.

Prime Factorization of 19578

Prime Factorization of 19585

Now multiplying the highest exponent prime factors to calculate the LCM of 19578 and 19585.

LCM(19578,19585) = 2¹ × 3¹ × 13¹ × 251¹ × 5¹ × 3917¹
LCM(19578,19585) = 383435130