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What is the Least Common Multiple of 87911 and 87918?

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 87911 and 87918 is 7728959298.

LCM(87911,87918) = 7728959298

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Least Common Multiple of 87911 and 87918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87911 and 87918, than apply into the LCM equation.

GCF(87911,87918) = 1
LCM(87911,87918) = ( 87911 × 87918) / 1
LCM(87911,87918) = 7728959298 / 1
LCM(87911,87918) = 7728959298

Least Common Multiple (LCM) of 87911 and 87918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87911 and 87918. First we will calculate the prime factors of 87911 and 87918.

Prime Factorization of 87911

Prime factors of 87911 are 87911. Prime factorization of 87911 in exponential form is:

87911 = 879111

Prime Factorization of 87918

Prime factors of 87918 are 2, 3, 14653. Prime factorization of 87918 in exponential form is:

87918 = 21 × 31 × 146531

Now multiplying the highest exponent prime factors to calculate the LCM of 87911 and 87918.

LCM(87911,87918) = 879111 × 21 × 31 × 146531
LCM(87911,87918) = 7728959298