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What is the Least Common Multiple of 91697 and 91712?

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 91697 and 91712 is 8409715264.

LCM(91697,91712) = 8409715264

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Least Common Multiple of 91697 and 91712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91697 and 91712, than apply into the LCM equation.

GCF(91697,91712) = 1
LCM(91697,91712) = ( 91697 × 91712) / 1
LCM(91697,91712) = 8409715264 / 1
LCM(91697,91712) = 8409715264

Least Common Multiple (LCM) of 91697 and 91712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91697 and 91712. First we will calculate the prime factors of 91697 and 91712.

Prime Factorization of 91697

Prime factors of 91697 are 47, 1951. Prime factorization of 91697 in exponential form is:

91697 = 471 × 19511

Prime Factorization of 91712

Prime factors of 91712 are 2, 1433. Prime factorization of 91712 in exponential form is:

91712 = 26 × 14331

Now multiplying the highest exponent prime factors to calculate the LCM of 91697 and 91712.

LCM(91697,91712) = 471 × 19511 × 26 × 14331
LCM(91697,91712) = 8409715264