What is the Least Common Multiple of 19803 and 19820?

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 19803 and 19820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19803 and 19820, than apply into the LCM equation.

GCF(19803,19820) = 1
LCM(19803,19820) = ( 19803 × 19820) / 1
LCM(19803,19820) = 392495460 / 1
LCM(19803,19820) = 392495460

Least Common Multiple (LCM) of 19803 and 19820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19803 and 19820. First we will calculate the prime factors of 19803 and 19820.

Prime Factorization of 19803

Prime Factorization of 19820

Now multiplying the highest exponent prime factors to calculate the LCM of 19803 and 19820.

LCM(19803,19820) = 3¹ × 7¹ × 23¹ × 41¹ × 2² × 5¹ × 991¹
LCM(19803,19820) = 392495460