What is the Least Common Multiple of 19789 and 19801?

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 19789 and 19801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19789 and 19801, than apply into the LCM equation.

GCF(19789,19801) = 1
LCM(19789,19801) = ( 19789 × 19801) / 1
LCM(19789,19801) = 391841989 / 1
LCM(19789,19801) = 391841989

Least Common Multiple (LCM) of 19789 and 19801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19789 and 19801. First we will calculate the prime factors of 19789 and 19801.

Prime Factorization of 19789

Prime Factorization of 19801

Now multiplying the highest exponent prime factors to calculate the LCM of 19789 and 19801.

LCM(19789,19801) = 7¹ × 11¹ × 257¹ × 19801¹
LCM(19789,19801) = 391841989