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What is the Least Common Multiple of 87869 and 87878?

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 87869 and 87878 is 7721751982.

LCM(87869,87878) = 7721751982

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Least Common Multiple of 87869 and 87878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87869 and 87878, than apply into the LCM equation.

GCF(87869,87878) = 1
LCM(87869,87878) = ( 87869 × 87878) / 1
LCM(87869,87878) = 7721751982 / 1
LCM(87869,87878) = 7721751982

Least Common Multiple (LCM) of 87869 and 87878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87869 and 87878. First we will calculate the prime factors of 87869 and 87878.

Prime Factorization of 87869

Prime factors of 87869 are 87869. Prime factorization of 87869 in exponential form is:

87869 = 878691

Prime Factorization of 87878

Prime factors of 87878 are 2, 7, 6277. Prime factorization of 87878 in exponential form is:

87878 = 21 × 71 × 62771

Now multiplying the highest exponent prime factors to calculate the LCM of 87869 and 87878.

LCM(87869,87878) = 878691 × 21 × 71 × 62771
LCM(87869,87878) = 7721751982