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What is the Least Common Multiple of 19058 and 19075?

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 19058 and 19075 is 363531350.

LCM(19058,19075) = 363531350

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Least Common Multiple of 19058 and 19075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19058 and 19075, than apply into the LCM equation.

GCF(19058,19075) = 1
LCM(19058,19075) = ( 19058 × 19075) / 1
LCM(19058,19075) = 363531350 / 1
LCM(19058,19075) = 363531350

Least Common Multiple (LCM) of 19058 and 19075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19058 and 19075. First we will calculate the prime factors of 19058 and 19075.

Prime Factorization of 19058

Prime factors of 19058 are 2, 13, 733. Prime factorization of 19058 in exponential form is:

19058 = 21 × 131 × 7331

Prime Factorization of 19075

Prime factors of 19075 are 5, 7, 109. Prime factorization of 19075 in exponential form is:

19075 = 52 × 71 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 19058 and 19075.

LCM(19058,19075) = 21 × 131 × 7331 × 52 × 71 × 1091
LCM(19058,19075) = 363531350