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What is the Least Common Multiple of 18954 and 18973?

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 18954 and 18973 is 359614242.

LCM(18954,18973) = 359614242

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Least Common Multiple of 18954 and 18973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18954 and 18973, than apply into the LCM equation.

GCF(18954,18973) = 1
LCM(18954,18973) = ( 18954 × 18973) / 1
LCM(18954,18973) = 359614242 / 1
LCM(18954,18973) = 359614242

Least Common Multiple (LCM) of 18954 and 18973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18954 and 18973. First we will calculate the prime factors of 18954 and 18973.

Prime Factorization of 18954

Prime factors of 18954 are 2, 3, 13. Prime factorization of 18954 in exponential form is:

18954 = 21 × 36 × 131

Prime Factorization of 18973

Prime factors of 18973 are 18973. Prime factorization of 18973 in exponential form is:

18973 = 189731

Now multiplying the highest exponent prime factors to calculate the LCM of 18954 and 18973.

LCM(18954,18973) = 21 × 36 × 131 × 189731
LCM(18954,18973) = 359614242