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What is the Least Common Multiple of 8361 and 8375?

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 8361 and 8375 is 70023375.

LCM(8361,8375) = 70023375

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Least Common Multiple of 8361 and 8375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8361 and 8375, than apply into the LCM equation.

GCF(8361,8375) = 1
LCM(8361,8375) = ( 8361 × 8375) / 1
LCM(8361,8375) = 70023375 / 1
LCM(8361,8375) = 70023375

Least Common Multiple (LCM) of 8361 and 8375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8361 and 8375. First we will calculate the prime factors of 8361 and 8375.

Prime Factorization of 8361

Prime factors of 8361 are 3, 929. Prime factorization of 8361 in exponential form is:

8361 = 32 × 9291

Prime Factorization of 8375

Prime factors of 8375 are 5, 67. Prime factorization of 8375 in exponential form is:

8375 = 53 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 8361 and 8375.

LCM(8361,8375) = 32 × 9291 × 53 × 671
LCM(8361,8375) = 70023375