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What is the Least Common Multiple of 18997 and 19002?

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 18997 and 19002 is 360980994.

LCM(18997,19002) = 360980994

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Least Common Multiple of 18997 and 19002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18997 and 19002, than apply into the LCM equation.

GCF(18997,19002) = 1
LCM(18997,19002) = ( 18997 × 19002) / 1
LCM(18997,19002) = 360980994 / 1
LCM(18997,19002) = 360980994

Least Common Multiple (LCM) of 18997 and 19002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18997 and 19002. First we will calculate the prime factors of 18997 and 19002.

Prime Factorization of 18997

Prime factors of 18997 are 11, 157. Prime factorization of 18997 in exponential form is:

18997 = 112 × 1571

Prime Factorization of 19002

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

19002 = 21 × 31 × 31671

Now multiplying the highest exponent prime factors to calculate the LCM of 18997 and 19002.

LCM(18997,19002) = 112 × 1571 × 21 × 31 × 31671
LCM(18997,19002) = 360980994