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What is the Least Common Multiple of 18998 and 19004?

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 18998 and 19004 is 180518996.

LCM(18998,19004) = 180518996

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Least Common Multiple of 18998 and 19004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18998 and 19004, than apply into the LCM equation.

GCF(18998,19004) = 2
LCM(18998,19004) = ( 18998 × 19004) / 2
LCM(18998,19004) = 361037992 / 2
LCM(18998,19004) = 180518996

Least Common Multiple (LCM) of 18998 and 19004 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18998 and 19004. First we will calculate the prime factors of 18998 and 19004.

Prime Factorization of 18998

Prime factors of 18998 are 2, 7, 23, 59. Prime factorization of 18998 in exponential form is:

18998 = 21 × 71 × 231 × 591

Prime Factorization of 19004

Prime factors of 19004 are 2, 4751. Prime factorization of 19004 in exponential form is:

19004 = 22 × 47511

Now multiplying the highest exponent prime factors to calculate the LCM of 18998 and 19004.

LCM(18998,19004) = 22 × 71 × 231 × 591 × 47511
LCM(18998,19004) = 180518996