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What is the Least Common Multiple of 19002 and 19015?

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 19002 and 19015 is 361323030.

LCM(19002,19015) = 361323030

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Least Common Multiple of 19002 and 19015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19002 and 19015, than apply into the LCM equation.

GCF(19002,19015) = 1
LCM(19002,19015) = ( 19002 × 19015) / 1
LCM(19002,19015) = 361323030 / 1
LCM(19002,19015) = 361323030

Least Common Multiple (LCM) of 19002 and 19015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19002 and 19015. First we will calculate the prime factors of 19002 and 19015.

Prime Factorization of 19002

Prime factors of 19002 are 2, 3, 3167. Prime factorization of 19002 in exponential form is:

19002 = 21 × 31 × 31671

Prime Factorization of 19015

Prime factors of 19015 are 5, 3803. Prime factorization of 19015 in exponential form is:

19015 = 51 × 38031

Now multiplying the highest exponent prime factors to calculate the LCM of 19002 and 19015.

LCM(19002,19015) = 21 × 31 × 31671 × 51 × 38031
LCM(19002,19015) = 361323030