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What is the Least Common Multiple of 99418 and 99434?

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 99418 and 99434 is 4942764706.

LCM(99418,99434) = 4942764706

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Least Common Multiple of 99418 and 99434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99418 and 99434, than apply into the LCM equation.

GCF(99418,99434) = 2
LCM(99418,99434) = ( 99418 × 99434) / 2
LCM(99418,99434) = 9885529412 / 2
LCM(99418,99434) = 4942764706

Least Common Multiple (LCM) of 99418 and 99434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99418 and 99434. First we will calculate the prime factors of 99418 and 99434.

Prime Factorization of 99418

Prime factors of 99418 are 2, 11, 4519. Prime factorization of 99418 in exponential form is:

99418 = 21 × 111 × 45191

Prime Factorization of 99434

Prime factors of 99434 are 2, 83, 599. Prime factorization of 99434 in exponential form is:

99434 = 21 × 831 × 5991

Now multiplying the highest exponent prime factors to calculate the LCM of 99418 and 99434.

LCM(99418,99434) = 21 × 111 × 45191 × 831 × 5991
LCM(99418,99434) = 4942764706