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What is the Least Common Multiple of 18964 and 18969?

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 18964 and 18969 is 359728116.

LCM(18964,18969) = 359728116

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Least Common Multiple of 18964 and 18969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18964 and 18969, than apply into the LCM equation.

GCF(18964,18969) = 1
LCM(18964,18969) = ( 18964 × 18969) / 1
LCM(18964,18969) = 359728116 / 1
LCM(18964,18969) = 359728116

Least Common Multiple (LCM) of 18964 and 18969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18964 and 18969. First we will calculate the prime factors of 18964 and 18969.

Prime Factorization of 18964

Prime factors of 18964 are 2, 11, 431. Prime factorization of 18964 in exponential form is:

18964 = 22 × 111 × 4311

Prime Factorization of 18969

Prime factors of 18969 are 3, 6323. Prime factorization of 18969 in exponential form is:

18969 = 31 × 63231

Now multiplying the highest exponent prime factors to calculate the LCM of 18964 and 18969.

LCM(18964,18969) = 22 × 111 × 4311 × 31 × 63231
LCM(18964,18969) = 359728116