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What is the Least Common Multiple of 77353 and 77363?

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 77353 and 77363 is 5984260139.

LCM(77353,77363) = 5984260139

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Least Common Multiple of 77353 and 77363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77353 and 77363, than apply into the LCM equation.

GCF(77353,77363) = 1
LCM(77353,77363) = ( 77353 × 77363) / 1
LCM(77353,77363) = 5984260139 / 1
LCM(77353,77363) = 5984260139

Least Common Multiple (LCM) of 77353 and 77363 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77353 and 77363. First we will calculate the prime factors of 77353 and 77363.

Prime Factorization of 77353

Prime factors of 77353 are 103, 751. Prime factorization of 77353 in exponential form is:

77353 = 1031 × 7511

Prime Factorization of 77363

Prime factors of 77363 are 11, 13, 541. Prime factorization of 77363 in exponential form is:

77363 = 111 × 131 × 5411

Now multiplying the highest exponent prime factors to calculate the LCM of 77353 and 77363.

LCM(77353,77363) = 1031 × 7511 × 111 × 131 × 5411
LCM(77353,77363) = 5984260139