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What is the Least Common Multiple of 96647 and 96655?

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 96647 and 96655 is 9341415785.

LCM(96647,96655) = 9341415785

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Least Common Multiple of 96647 and 96655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96647 and 96655, than apply into the LCM equation.

GCF(96647,96655) = 1
LCM(96647,96655) = ( 96647 × 96655) / 1
LCM(96647,96655) = 9341415785 / 1
LCM(96647,96655) = 9341415785

Least Common Multiple (LCM) of 96647 and 96655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96647 and 96655. First we will calculate the prime factors of 96647 and 96655.

Prime Factorization of 96647

Prime factors of 96647 are 127, 761. Prime factorization of 96647 in exponential form is:

96647 = 1271 × 7611

Prime Factorization of 96655

Prime factors of 96655 are 5, 13, 1487. Prime factorization of 96655 in exponential form is:

96655 = 51 × 131 × 14871

Now multiplying the highest exponent prime factors to calculate the LCM of 96647 and 96655.

LCM(96647,96655) = 1271 × 7611 × 51 × 131 × 14871
LCM(96647,96655) = 9341415785