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What is the Least Common Multiple of 99604 and 99613?

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 99604 and 99613 is 9921853252.

LCM(99604,99613) = 9921853252

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Least Common Multiple of 99604 and 99613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99604 and 99613, than apply into the LCM equation.

GCF(99604,99613) = 1
LCM(99604,99613) = ( 99604 × 99613) / 1
LCM(99604,99613) = 9921853252 / 1
LCM(99604,99613) = 9921853252

Least Common Multiple (LCM) of 99604 and 99613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99604 and 99613. First we will calculate the prime factors of 99604 and 99613.

Prime Factorization of 99604

Prime factors of 99604 are 2, 37, 673. Prime factorization of 99604 in exponential form is:

99604 = 22 × 371 × 6731

Prime Factorization of 99613

Prime factors of 99613 are 23, 61, 71. Prime factorization of 99613 in exponential form is:

99613 = 231 × 611 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 99604 and 99613.

LCM(99604,99613) = 22 × 371 × 6731 × 231 × 611 × 711
LCM(99604,99613) = 9921853252