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What is the Least Common Multiple of 91076 and 91081?

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 91076 and 91081 is 8295293156.

LCM(91076,91081) = 8295293156

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Least Common Multiple of 91076 and 91081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91076 and 91081, than apply into the LCM equation.

GCF(91076,91081) = 1
LCM(91076,91081) = ( 91076 × 91081) / 1
LCM(91076,91081) = 8295293156 / 1
LCM(91076,91081) = 8295293156

Least Common Multiple (LCM) of 91076 and 91081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91076 and 91081. First we will calculate the prime factors of 91076 and 91081.

Prime Factorization of 91076

Prime factors of 91076 are 2, 22769. Prime factorization of 91076 in exponential form is:

91076 = 22 × 227691

Prime Factorization of 91081

Prime factors of 91081 are 91081. Prime factorization of 91081 in exponential form is:

91081 = 910811

Now multiplying the highest exponent prime factors to calculate the LCM of 91076 and 91081.

LCM(91076,91081) = 22 × 227691 × 910811
LCM(91076,91081) = 8295293156