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What is the Least Common Multiple of 87187 and 87197?

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 87187 and 87197 is 7602444839.

LCM(87187,87197) = 7602444839

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Least Common Multiple of 87187 and 87197 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87187 and 87197, than apply into the LCM equation.

GCF(87187,87197) = 1
LCM(87187,87197) = ( 87187 × 87197) / 1
LCM(87187,87197) = 7602444839 / 1
LCM(87187,87197) = 7602444839

Least Common Multiple (LCM) of 87187 and 87197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87187 and 87197. First we will calculate the prime factors of 87187 and 87197.

Prime Factorization of 87187

Prime factors of 87187 are 87187. Prime factorization of 87187 in exponential form is:

87187 = 871871

Prime Factorization of 87197

Prime factors of 87197 are 11, 7927. Prime factorization of 87197 in exponential form is:

87197 = 111 × 79271

Now multiplying the highest exponent prime factors to calculate the LCM of 87187 and 87197.

LCM(87187,87197) = 871871 × 111 × 79271
LCM(87187,87197) = 7602444839