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What is the Least Common Multiple of 91863 and 91869?

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 91863 and 91869 is 2813120649.

LCM(91863,91869) = 2813120649

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Least Common Multiple of 91863 and 91869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91863 and 91869, than apply into the LCM equation.

GCF(91863,91869) = 3
LCM(91863,91869) = ( 91863 × 91869) / 3
LCM(91863,91869) = 8439361947 / 3
LCM(91863,91869) = 2813120649

Least Common Multiple (LCM) of 91863 and 91869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91863 and 91869. First we will calculate the prime factors of 91863 and 91869.

Prime Factorization of 91863

Prime factors of 91863 are 3, 59, 173. Prime factorization of 91863 in exponential form is:

91863 = 32 × 591 × 1731

Prime Factorization of 91869

Prime factors of 91869 are 3, 113, 271. Prime factorization of 91869 in exponential form is:

91869 = 31 × 1131 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 91863 and 91869.

LCM(91863,91869) = 32 × 591 × 1731 × 1131 × 2711
LCM(91863,91869) = 2813120649