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What is the Least Common Multiple of 18973 and 18983?

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 18973 and 18983 is 360164459.

LCM(18973,18983) = 360164459

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Least Common Multiple of 18973 and 18983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18973 and 18983, than apply into the LCM equation.

GCF(18973,18983) = 1
LCM(18973,18983) = ( 18973 × 18983) / 1
LCM(18973,18983) = 360164459 / 1
LCM(18973,18983) = 360164459

Least Common Multiple (LCM) of 18973 and 18983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18973 and 18983. First we will calculate the prime factors of 18973 and 18983.

Prime Factorization of 18973

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

18973 = 189731

Prime Factorization of 18983

Prime factors of 18983 are 41, 463. Prime factorization of 18983 in exponential form is:

18983 = 411 × 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 18973 and 18983.

LCM(18973,18983) = 189731 × 411 × 4631
LCM(18973,18983) = 360164459