GCF and LCM Calculator Logo

What is the Least Common Multiple of 1994 and 2009?

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 (LCM) of 1994 and 2009 is 4005946.

LCM(1994,2009) = 4005946

LCM Calculator and
and

Least Common Multiple of 1994 and 2009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1994 and 2009, than apply into the LCM equation.

GCF(1994,2009) = 1
LCM(1994,2009) = ( 1994 × 2009) / 1
LCM(1994,2009) = 4005946 / 1
LCM(1994,2009) = 4005946

Least Common Multiple (LCM) of 1994 and 2009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1994 and 2009. First we will calculate the prime factors of 1994 and 2009.

Prime Factorization of 1994

Prime factors of 1994 are 2, 997. Prime factorization of 1994 in exponential form is:

1994 = 21 × 9971

Prime Factorization of 2009

Prime factors of 2009 are 7, 41. Prime factorization of 2009 in exponential form is:

2009 = 72 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 1994 and 2009.

LCM(1994,2009) = 21 × 9971 × 72 × 411
LCM(1994,2009) = 4005946