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What is the Least Common Multiple of 19059 and 19063?

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 19059 and 19063 is 363321717.

LCM(19059,19063) = 363321717

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Least Common Multiple of 19059 and 19063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19059 and 19063, than apply into the LCM equation.

GCF(19059,19063) = 1
LCM(19059,19063) = ( 19059 × 19063) / 1
LCM(19059,19063) = 363321717 / 1
LCM(19059,19063) = 363321717

Least Common Multiple (LCM) of 19059 and 19063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19059 and 19063. First we will calculate the prime factors of 19059 and 19063.

Prime Factorization of 19059

Prime factors of 19059 are 3, 6353. Prime factorization of 19059 in exponential form is:

19059 = 31 × 63531

Prime Factorization of 19063

Prime factors of 19063 are 11, 1733. Prime factorization of 19063 in exponential form is:

19063 = 111 × 17331

Now multiplying the highest exponent prime factors to calculate the LCM of 19059 and 19063.

LCM(19059,19063) = 31 × 63531 × 111 × 17331
LCM(19059,19063) = 363321717