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What is the Least Common Multiple of 99481 and 99486?

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 99481 and 99486 is 9896966766.

LCM(99481,99486) = 9896966766

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Least Common Multiple of 99481 and 99486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99481 and 99486, than apply into the LCM equation.

GCF(99481,99486) = 1
LCM(99481,99486) = ( 99481 × 99486) / 1
LCM(99481,99486) = 9896966766 / 1
LCM(99481,99486) = 9896966766

Least Common Multiple (LCM) of 99481 and 99486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99481 and 99486. First we will calculate the prime factors of 99481 and 99486.

Prime Factorization of 99481

Prime factors of 99481 are 53, 1877. Prime factorization of 99481 in exponential form is:

99481 = 531 × 18771

Prime Factorization of 99486

Prime factors of 99486 are 2, 3, 5527. Prime factorization of 99486 in exponential form is:

99486 = 21 × 32 × 55271

Now multiplying the highest exponent prime factors to calculate the LCM of 99481 and 99486.

LCM(99481,99486) = 531 × 18771 × 21 × 32 × 55271
LCM(99481,99486) = 9896966766