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What is the Least Common Multiple of 91861 and 91881?

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 91861 and 91881 is 8440280541.

LCM(91861,91881) = 8440280541

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Least Common Multiple of 91861 and 91881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91861 and 91881, than apply into the LCM equation.

GCF(91861,91881) = 1
LCM(91861,91881) = ( 91861 × 91881) / 1
LCM(91861,91881) = 8440280541 / 1
LCM(91861,91881) = 8440280541

Least Common Multiple (LCM) of 91861 and 91881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91861 and 91881. First we will calculate the prime factors of 91861 and 91881.

Prime Factorization of 91861

Prime factors of 91861 are 7, 11, 1193. Prime factorization of 91861 in exponential form is:

91861 = 71 × 111 × 11931

Prime Factorization of 91881

Prime factors of 91881 are 3, 41, 83. Prime factorization of 91881 in exponential form is:

91881 = 33 × 411 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 91861 and 91881.

LCM(91861,91881) = 71 × 111 × 11931 × 33 × 411 × 831
LCM(91861,91881) = 8440280541