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What is the Least Common Multiple of 69857 and 69863?

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 69857 and 69863 is 4880419591.

LCM(69857,69863) = 4880419591

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Least Common Multiple of 69857 and 69863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69857 and 69863, than apply into the LCM equation.

GCF(69857,69863) = 1
LCM(69857,69863) = ( 69857 × 69863) / 1
LCM(69857,69863) = 4880419591 / 1
LCM(69857,69863) = 4880419591

Least Common Multiple (LCM) of 69857 and 69863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69857 and 69863. First we will calculate the prime factors of 69857 and 69863.

Prime Factorization of 69857

Prime factors of 69857 are 69857. Prime factorization of 69857 in exponential form is:

69857 = 698571

Prime Factorization of 69863

Prime factors of 69863 are 19, 3677. Prime factorization of 69863 in exponential form is:

69863 = 191 × 36771

Now multiplying the highest exponent prime factors to calculate the LCM of 69857 and 69863.

LCM(69857,69863) = 698571 × 191 × 36771
LCM(69857,69863) = 4880419591