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What is the Least Common Multiple of 92884 and 92902?

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 92884 and 92902 is 4314554684.

LCM(92884,92902) = 4314554684

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Least Common Multiple of 92884 and 92902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92884 and 92902, than apply into the LCM equation.

GCF(92884,92902) = 2
LCM(92884,92902) = ( 92884 × 92902) / 2
LCM(92884,92902) = 8629109368 / 2
LCM(92884,92902) = 4314554684

Least Common Multiple (LCM) of 92884 and 92902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92884 and 92902. First we will calculate the prime factors of 92884 and 92902.

Prime Factorization of 92884

Prime factors of 92884 are 2, 11, 2111. Prime factorization of 92884 in exponential form is:

92884 = 22 × 111 × 21111

Prime Factorization of 92902

Prime factors of 92902 are 2, 46451. Prime factorization of 92902 in exponential form is:

92902 = 21 × 464511

Now multiplying the highest exponent prime factors to calculate the LCM of 92884 and 92902.

LCM(92884,92902) = 22 × 111 × 21111 × 464511
LCM(92884,92902) = 4314554684