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What is the Least Common Multiple of 99477 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 99477 and 99486 is 1099618758.

LCM(99477,99486) = 1099618758

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Least Common Multiple of 99477 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 99477 and 99486, than apply into the LCM equation.

GCF(99477,99486) = 9
LCM(99477,99486) = ( 99477 × 99486) / 9
LCM(99477,99486) = 9896568822 / 9
LCM(99477,99486) = 1099618758

Least Common Multiple (LCM) of 99477 and 99486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99477 and 99486. First we will calculate the prime factors of 99477 and 99486.

Prime Factorization of 99477

Prime factors of 99477 are 3, 7, 1579. Prime factorization of 99477 in exponential form is:

99477 = 32 × 71 × 15791

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 99477 and 99486.

LCM(99477,99486) = 32 × 71 × 15791 × 21 × 55271
LCM(99477,99486) = 1099618758