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What is the Least Common Multiple of 91132 and 91141?

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 91132 and 91141 is 8305861612.

LCM(91132,91141) = 8305861612

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Least Common Multiple of 91132 and 91141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91132 and 91141, than apply into the LCM equation.

GCF(91132,91141) = 1
LCM(91132,91141) = ( 91132 × 91141) / 1
LCM(91132,91141) = 8305861612 / 1
LCM(91132,91141) = 8305861612

Least Common Multiple (LCM) of 91132 and 91141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91132 and 91141. First we will calculate the prime factors of 91132 and 91141.

Prime Factorization of 91132

Prime factors of 91132 are 2, 22783. Prime factorization of 91132 in exponential form is:

91132 = 22 × 227831

Prime Factorization of 91141

Prime factors of 91141 are 91141. Prime factorization of 91141 in exponential form is:

91141 = 911411

Now multiplying the highest exponent prime factors to calculate the LCM of 91132 and 91141.

LCM(91132,91141) = 22 × 227831 × 911411
LCM(91132,91141) = 8305861612