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What is the Least Common Multiple of 91852 and 91863?

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 91852 and 91863 is 8437800276.

LCM(91852,91863) = 8437800276

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Least Common Multiple of 91852 and 91863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91852 and 91863, than apply into the LCM equation.

GCF(91852,91863) = 1
LCM(91852,91863) = ( 91852 × 91863) / 1
LCM(91852,91863) = 8437800276 / 1
LCM(91852,91863) = 8437800276

Least Common Multiple (LCM) of 91852 and 91863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91852 and 91863. First we will calculate the prime factors of 91852 and 91863.

Prime Factorization of 91852

Prime factors of 91852 are 2, 22963. Prime factorization of 91852 in exponential form is:

91852 = 22 × 229631

Prime Factorization of 91863

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

91863 = 32 × 591 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 91852 and 91863.

LCM(91852,91863) = 22 × 229631 × 32 × 591 × 1731
LCM(91852,91863) = 8437800276