GCF and LCM Calculator Logo

What is the Least Common Multiple of 18902 and 18921?

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 18902 and 18921 is 357644742.

LCM(18902,18921) = 357644742

LCM Calculator and
and

Least Common Multiple of 18902 and 18921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18902 and 18921, than apply into the LCM equation.

GCF(18902,18921) = 1
LCM(18902,18921) = ( 18902 × 18921) / 1
LCM(18902,18921) = 357644742 / 1
LCM(18902,18921) = 357644742

Least Common Multiple (LCM) of 18902 and 18921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18902 and 18921. First we will calculate the prime factors of 18902 and 18921.

Prime Factorization of 18902

Prime factors of 18902 are 2, 13, 727. Prime factorization of 18902 in exponential form is:

18902 = 21 × 131 × 7271

Prime Factorization of 18921

Prime factors of 18921 are 3, 7, 17, 53. Prime factorization of 18921 in exponential form is:

18921 = 31 × 71 × 171 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 18902 and 18921.

LCM(18902,18921) = 21 × 131 × 7271 × 31 × 71 × 171 × 531
LCM(18902,18921) = 357644742