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What is the Least Common Multiple of 98636 and 98644?

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 98636 and 98644 is 2432462396.

LCM(98636,98644) = 2432462396

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Least Common Multiple of 98636 and 98644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98636 and 98644, than apply into the LCM equation.

GCF(98636,98644) = 4
LCM(98636,98644) = ( 98636 × 98644) / 4
LCM(98636,98644) = 9729849584 / 4
LCM(98636,98644) = 2432462396

Least Common Multiple (LCM) of 98636 and 98644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98636 and 98644. First we will calculate the prime factors of 98636 and 98644.

Prime Factorization of 98636

Prime factors of 98636 are 2, 24659. Prime factorization of 98636 in exponential form is:

98636 = 22 × 246591

Prime Factorization of 98644

Prime factors of 98644 are 2, 7, 13, 271. Prime factorization of 98644 in exponential form is:

98644 = 22 × 71 × 131 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 98636 and 98644.

LCM(98636,98644) = 22 × 246591 × 71 × 131 × 2711
LCM(98636,98644) = 2432462396