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What is the Least Common Multiple of 92902 and 92910?

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 92902 and 92910 is 4315762410.

LCM(92902,92910) = 4315762410

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Least Common Multiple of 92902 and 92910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92902 and 92910, than apply into the LCM equation.

GCF(92902,92910) = 2
LCM(92902,92910) = ( 92902 × 92910) / 2
LCM(92902,92910) = 8631524820 / 2
LCM(92902,92910) = 4315762410

Least Common Multiple (LCM) of 92902 and 92910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92902 and 92910. First we will calculate the prime factors of 92902 and 92910.

Prime Factorization of 92902

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

92902 = 21 × 464511

Prime Factorization of 92910

Prime factors of 92910 are 2, 3, 5, 19, 163. Prime factorization of 92910 in exponential form is:

92910 = 21 × 31 × 51 × 191 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 92902 and 92910.

LCM(92902,92910) = 21 × 464511 × 31 × 51 × 191 × 1631
LCM(92902,92910) = 4315762410