What is the Least Common Multiple of 19990 and 20009?

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 19990 and 20009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19990 and 20009, than apply into the LCM equation.

GCF(19990,20009) = 1
LCM(19990,20009) = ( 19990 × 20009) / 1
LCM(19990,20009) = 399979910 / 1
LCM(19990,20009) = 399979910

Least Common Multiple (LCM) of 19990 and 20009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19990 and 20009. First we will calculate the prime factors of 19990 and 20009.

Prime Factorization of 19990

Prime Factorization of 20009

Now multiplying the highest exponent prime factors to calculate the LCM of 19990 and 20009.

LCM(19990,20009) = 2¹ × 5¹ × 1999¹ × 11¹ × 17¹ × 107¹
LCM(19990,20009) = 399979910