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What is the Least Common Multiple of 92869 and 92878?

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 92869 and 92878 is 8625486982.

LCM(92869,92878) = 8625486982

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Least Common Multiple of 92869 and 92878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92869 and 92878, than apply into the LCM equation.

GCF(92869,92878) = 1
LCM(92869,92878) = ( 92869 × 92878) / 1
LCM(92869,92878) = 8625486982 / 1
LCM(92869,92878) = 8625486982

Least Common Multiple (LCM) of 92869 and 92878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92869 and 92878. First we will calculate the prime factors of 92869 and 92878.

Prime Factorization of 92869

Prime factors of 92869 are 7, 13267. Prime factorization of 92869 in exponential form is:

92869 = 71 × 132671

Prime Factorization of 92878

Prime factors of 92878 are 2, 46439. Prime factorization of 92878 in exponential form is:

92878 = 21 × 464391

Now multiplying the highest exponent prime factors to calculate the LCM of 92869 and 92878.

LCM(92869,92878) = 71 × 132671 × 21 × 464391
LCM(92869,92878) = 8625486982