GCF and LCM Calculator Logo

What is the Least Common Multiple of 29987 and 30007?

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 29987 and 30007 is 899819909.

LCM(29987,30007) = 899819909

LCM Calculator and
and

Least Common Multiple of 29987 and 30007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29987 and 30007, than apply into the LCM equation.

GCF(29987,30007) = 1
LCM(29987,30007) = ( 29987 × 30007) / 1
LCM(29987,30007) = 899819909 / 1
LCM(29987,30007) = 899819909

Least Common Multiple (LCM) of 29987 and 30007 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29987 and 30007. First we will calculate the prime factors of 29987 and 30007.

Prime Factorization of 29987

Prime factors of 29987 are 157, 191. Prime factorization of 29987 in exponential form is:

29987 = 1571 × 1911

Prime Factorization of 30007

Prime factors of 30007 are 37, 811. Prime factorization of 30007 in exponential form is:

30007 = 371 × 8111

Now multiplying the highest exponent prime factors to calculate the LCM of 29987 and 30007.

LCM(29987,30007) = 1571 × 1911 × 371 × 8111
LCM(29987,30007) = 899819909