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What is the Least Common Multiple of 85373 and 85387?

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 85373 and 85387 is 7289744351.

LCM(85373,85387) = 7289744351

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Least Common Multiple of 85373 and 85387 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85373 and 85387, than apply into the LCM equation.

GCF(85373,85387) = 1
LCM(85373,85387) = ( 85373 × 85387) / 1
LCM(85373,85387) = 7289744351 / 1
LCM(85373,85387) = 7289744351

Least Common Multiple (LCM) of 85373 and 85387 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85373 and 85387. First we will calculate the prime factors of 85373 and 85387.

Prime Factorization of 85373

Prime factors of 85373 are 59, 1447. Prime factorization of 85373 in exponential form is:

85373 = 591 × 14471

Prime Factorization of 85387

Prime factors of 85387 are 103, 829. Prime factorization of 85387 in exponential form is:

85387 = 1031 × 8291

Now multiplying the highest exponent prime factors to calculate the LCM of 85373 and 85387.

LCM(85373,85387) = 591 × 14471 × 1031 × 8291
LCM(85373,85387) = 7289744351