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What is the Least Common Multiple of 18887 and 18902?

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 18887 and 18902 is 357002074.

LCM(18887,18902) = 357002074

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Least Common Multiple of 18887 and 18902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18887 and 18902, than apply into the LCM equation.

GCF(18887,18902) = 1
LCM(18887,18902) = ( 18887 × 18902) / 1
LCM(18887,18902) = 357002074 / 1
LCM(18887,18902) = 357002074

Least Common Multiple (LCM) of 18887 and 18902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18887 and 18902. First we will calculate the prime factors of 18887 and 18902.

Prime Factorization of 18887

Prime factors of 18887 are 11, 17, 101. Prime factorization of 18887 in exponential form is:

18887 = 111 × 171 × 1011

Prime Factorization of 18902

Prime factors of 18902 are 2, 13, 727. Prime factorization of 18902 in exponential form is:

18902 = 21 × 131 × 7271

Now multiplying the highest exponent prime factors to calculate the LCM of 18887 and 18902.

LCM(18887,18902) = 111 × 171 × 1011 × 21 × 131 × 7271
LCM(18887,18902) = 357002074