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What is the Least Common Multiple of 18993 and 18998?

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 18993 and 18998 is 360829014.

LCM(18993,18998) = 360829014

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Least Common Multiple of 18993 and 18998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18993 and 18998, than apply into the LCM equation.

GCF(18993,18998) = 1
LCM(18993,18998) = ( 18993 × 18998) / 1
LCM(18993,18998) = 360829014 / 1
LCM(18993,18998) = 360829014

Least Common Multiple (LCM) of 18993 and 18998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18993 and 18998. First we will calculate the prime factors of 18993 and 18998.

Prime Factorization of 18993

Prime factors of 18993 are 3, 13, 487. Prime factorization of 18993 in exponential form is:

18993 = 31 × 131 × 4871

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

Now multiplying the highest exponent prime factors to calculate the LCM of 18993 and 18998.

LCM(18993,18998) = 31 × 131 × 4871 × 21 × 71 × 231 × 591
LCM(18993,18998) = 360829014