What is the Least Common Multiple of 19830 and 19842?

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 19830 and 19842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19830 and 19842, than apply into the LCM equation.

GCF(19830,19842) = 6
LCM(19830,19842) = ( 19830 × 19842) / 6
LCM(19830,19842) = 393466860 / 6
LCM(19830,19842) = 65577810

Least Common Multiple (LCM) of 19830 and 19842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19830 and 19842. First we will calculate the prime factors of 19830 and 19842.

Prime Factorization of 19830

Prime Factorization of 19842

Now multiplying the highest exponent prime factors to calculate the LCM of 19830 and 19842.

LCM(19830,19842) = 2¹ × 3¹ × 5¹ × 661¹ × 3307¹
LCM(19830,19842) = 65577810