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What is the Least Common Multiple of 99476 and 99491?

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 99476 and 99491 is 9896966716.

LCM(99476,99491) = 9896966716

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Least Common Multiple of 99476 and 99491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99476 and 99491, than apply into the LCM equation.

GCF(99476,99491) = 1
LCM(99476,99491) = ( 99476 × 99491) / 1
LCM(99476,99491) = 9896966716 / 1
LCM(99476,99491) = 9896966716

Least Common Multiple (LCM) of 99476 and 99491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99476 and 99491. First we will calculate the prime factors of 99476 and 99491.

Prime Factorization of 99476

Prime factors of 99476 are 2, 13, 1913. Prime factorization of 99476 in exponential form is:

99476 = 22 × 131 × 19131

Prime Factorization of 99491

Prime factors of 99491 are 7, 61, 233. Prime factorization of 99491 in exponential form is:

99491 = 71 × 611 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 99476 and 99491.

LCM(99476,99491) = 22 × 131 × 19131 × 71 × 611 × 2331
LCM(99476,99491) = 9896966716