What is the Least Common Multiple of 19890 and 19903?

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 19890 and 19903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19890 and 19903, than apply into the LCM equation.

GCF(19890,19903) = 13
LCM(19890,19903) = ( 19890 × 19903) / 13
LCM(19890,19903) = 395870670 / 13
LCM(19890,19903) = 30451590

Least Common Multiple (LCM) of 19890 and 19903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19890 and 19903. First we will calculate the prime factors of 19890 and 19903.

Prime Factorization of 19890

Prime Factorization of 19903

Now multiplying the highest exponent prime factors to calculate the LCM of 19890 and 19903.

LCM(19890,19903) = 2¹ × 3² × 5¹ × 13¹ × 17¹ × 1531¹
LCM(19890,19903) = 30451590