What is the Least Common Multiple of 19578 and 19590?

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 19590 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 19590, than apply into the LCM equation.

GCF(19578,19590) = 6
LCM(19578,19590) = ( 19578 × 19590) / 6
LCM(19578,19590) = 383533020 / 6
LCM(19578,19590) = 63922170

Least Common Multiple (LCM) of 19578 and 19590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19578 and 19590. First we will calculate the prime factors of 19578 and 19590.

Prime Factorization of 19578

Prime Factorization of 19590

Now multiplying the highest exponent prime factors to calculate the LCM of 19578 and 19590.

LCM(19578,19590) = 2¹ × 3¹ × 13¹ × 251¹ × 5¹ × 653¹
LCM(19578,19590) = 63922170