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What is the Least Common Multiple of 17996 and 18010?

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 17996 and 18010 is 162053980.

LCM(17996,18010) = 162053980

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Least Common Multiple of 17996 and 18010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17996 and 18010, than apply into the LCM equation.

GCF(17996,18010) = 2
LCM(17996,18010) = ( 17996 × 18010) / 2
LCM(17996,18010) = 324107960 / 2
LCM(17996,18010) = 162053980

Least Common Multiple (LCM) of 17996 and 18010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17996 and 18010. First we will calculate the prime factors of 17996 and 18010.

Prime Factorization of 17996

Prime factors of 17996 are 2, 11, 409. Prime factorization of 17996 in exponential form is:

17996 = 22 × 111 × 4091

Prime Factorization of 18010

Prime factors of 18010 are 2, 5, 1801. Prime factorization of 18010 in exponential form is:

18010 = 21 × 51 × 18011

Now multiplying the highest exponent prime factors to calculate the LCM of 17996 and 18010.

LCM(17996,18010) = 22 × 111 × 4091 × 51 × 18011
LCM(17996,18010) = 162053980