What is the Least Common Multiple of 19815 and 19833?

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 19815 and 19833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19815 and 19833, than apply into the LCM equation.

GCF(19815,19833) = 3
LCM(19815,19833) = ( 19815 × 19833) / 3
LCM(19815,19833) = 392990895 / 3
LCM(19815,19833) = 130996965

Least Common Multiple (LCM) of 19815 and 19833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19815 and 19833. First we will calculate the prime factors of 19815 and 19833.

Prime Factorization of 19815

Prime Factorization of 19833

Now multiplying the highest exponent prime factors to calculate the LCM of 19815 and 19833.

LCM(19815,19833) = 3¹ × 5¹ × 1321¹ × 11¹ × 601¹
LCM(19815,19833) = 130996965