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What is the Least Common Multiple of 18988 and 18993?

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 18988 and 18993 is 360639084.

LCM(18988,18993) = 360639084

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Least Common Multiple of 18988 and 18993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18988 and 18993, than apply into the LCM equation.

GCF(18988,18993) = 1
LCM(18988,18993) = ( 18988 × 18993) / 1
LCM(18988,18993) = 360639084 / 1
LCM(18988,18993) = 360639084

Least Common Multiple (LCM) of 18988 and 18993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18988 and 18993. First we will calculate the prime factors of 18988 and 18993.

Prime Factorization of 18988

Prime factors of 18988 are 2, 47, 101. Prime factorization of 18988 in exponential form is:

18988 = 22 × 471 × 1011

Prime Factorization of 18993

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

18993 = 31 × 131 × 4871

Now multiplying the highest exponent prime factors to calculate the LCM of 18988 and 18993.

LCM(18988,18993) = 22 × 471 × 1011 × 31 × 131 × 4871
LCM(18988,18993) = 360639084