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What is the Least Common Multiple of 28371 and 28387?

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 28371 and 28387 is 805367577.

LCM(28371,28387) = 805367577

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Least Common Multiple of 28371 and 28387 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28371 and 28387, than apply into the LCM equation.

GCF(28371,28387) = 1
LCM(28371,28387) = ( 28371 × 28387) / 1
LCM(28371,28387) = 805367577 / 1
LCM(28371,28387) = 805367577

Least Common Multiple (LCM) of 28371 and 28387 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28371 and 28387. First we will calculate the prime factors of 28371 and 28387.

Prime Factorization of 28371

Prime factors of 28371 are 3, 7, 193. Prime factorization of 28371 in exponential form is:

28371 = 31 × 72 × 1931

Prime Factorization of 28387

Prime factors of 28387 are 28387. Prime factorization of 28387 in exponential form is:

28387 = 283871

Now multiplying the highest exponent prime factors to calculate the LCM of 28371 and 28387.

LCM(28371,28387) = 31 × 72 × 1931 × 283871
LCM(28371,28387) = 805367577