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What is the Least Common Multiple of 91873 and 91884?

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 91873 and 91884 is 8441658732.

LCM(91873,91884) = 8441658732

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Least Common Multiple of 91873 and 91884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91873 and 91884, than apply into the LCM equation.

GCF(91873,91884) = 1
LCM(91873,91884) = ( 91873 × 91884) / 1
LCM(91873,91884) = 8441658732 / 1
LCM(91873,91884) = 8441658732

Least Common Multiple (LCM) of 91873 and 91884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91873 and 91884. First we will calculate the prime factors of 91873 and 91884.

Prime Factorization of 91873

Prime factors of 91873 are 91873. Prime factorization of 91873 in exponential form is:

91873 = 918731

Prime Factorization of 91884

Prime factors of 91884 are 2, 3, 13, 19, 31. Prime factorization of 91884 in exponential form is:

91884 = 22 × 31 × 131 × 191 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 91873 and 91884.

LCM(91873,91884) = 918731 × 22 × 31 × 131 × 191 × 311
LCM(91873,91884) = 8441658732