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What is the Least Common Multiple of 84365 and 84376?

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 84365 and 84376 is 7118381240.

LCM(84365,84376) = 7118381240

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Least Common Multiple of 84365 and 84376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84365 and 84376, than apply into the LCM equation.

GCF(84365,84376) = 1
LCM(84365,84376) = ( 84365 × 84376) / 1
LCM(84365,84376) = 7118381240 / 1
LCM(84365,84376) = 7118381240

Least Common Multiple (LCM) of 84365 and 84376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84365 and 84376. First we will calculate the prime factors of 84365 and 84376.

Prime Factorization of 84365

Prime factors of 84365 are 5, 47, 359. Prime factorization of 84365 in exponential form is:

84365 = 51 × 471 × 3591

Prime Factorization of 84376

Prime factors of 84376 are 2, 53, 199. Prime factorization of 84376 in exponential form is:

84376 = 23 × 531 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 84365 and 84376.

LCM(84365,84376) = 51 × 471 × 3591 × 23 × 531 × 1991
LCM(84365,84376) = 7118381240