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What is the Least Common Multiple of 87861 and 87877?

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 87861 and 87877 is 7720961097.

LCM(87861,87877) = 7720961097

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Least Common Multiple of 87861 and 87877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87861 and 87877, than apply into the LCM equation.

GCF(87861,87877) = 1
LCM(87861,87877) = ( 87861 × 87877) / 1
LCM(87861,87877) = 7720961097 / 1
LCM(87861,87877) = 7720961097

Least Common Multiple (LCM) of 87861 and 87877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87861 and 87877. First we will calculate the prime factors of 87861 and 87877.

Prime Factorization of 87861

Prime factors of 87861 are 3, 29287. Prime factorization of 87861 in exponential form is:

87861 = 31 × 292871

Prime Factorization of 87877

Prime factors of 87877 are 87877. Prime factorization of 87877 in exponential form is:

87877 = 878771

Now multiplying the highest exponent prime factors to calculate the LCM of 87861 and 87877.

LCM(87861,87877) = 31 × 292871 × 878771
LCM(87861,87877) = 7720961097