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What is the Least Common Multiple of 91061 and 91072?

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 91061 and 91072 is 8293107392.

LCM(91061,91072) = 8293107392

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Least Common Multiple of 91061 and 91072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91061 and 91072, than apply into the LCM equation.

GCF(91061,91072) = 1
LCM(91061,91072) = ( 91061 × 91072) / 1
LCM(91061,91072) = 8293107392 / 1
LCM(91061,91072) = 8293107392

Least Common Multiple (LCM) of 91061 and 91072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91061 and 91072. First we will calculate the prime factors of 91061 and 91072.

Prime Factorization of 91061

Prime factors of 91061 are 41, 2221. Prime factorization of 91061 in exponential form is:

91061 = 411 × 22211

Prime Factorization of 91072

Prime factors of 91072 are 2, 1423. Prime factorization of 91072 in exponential form is:

91072 = 26 × 14231

Now multiplying the highest exponent prime factors to calculate the LCM of 91061 and 91072.

LCM(91061,91072) = 411 × 22211 × 26 × 14231
LCM(91061,91072) = 8293107392