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What is the Least Common Multiple of 18969 and 18975?

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 18969 and 18975 is 119978925.

LCM(18969,18975) = 119978925

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Least Common Multiple of 18969 and 18975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18969 and 18975, than apply into the LCM equation.

GCF(18969,18975) = 3
LCM(18969,18975) = ( 18969 × 18975) / 3
LCM(18969,18975) = 359936775 / 3
LCM(18969,18975) = 119978925

Least Common Multiple (LCM) of 18969 and 18975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18969 and 18975. First we will calculate the prime factors of 18969 and 18975.

Prime Factorization of 18969

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

18969 = 31 × 63231

Prime Factorization of 18975

Prime factors of 18975 are 3, 5, 11, 23. Prime factorization of 18975 in exponential form is:

18975 = 31 × 52 × 111 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 18969 and 18975.

LCM(18969,18975) = 31 × 63231 × 52 × 111 × 231
LCM(18969,18975) = 119978925