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What is the Least Common Multiple of 91719 and 91730?

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 91719 and 91730 is 8413383870.

LCM(91719,91730) = 8413383870

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Least Common Multiple of 91719 and 91730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91719 and 91730, than apply into the LCM equation.

GCF(91719,91730) = 1
LCM(91719,91730) = ( 91719 × 91730) / 1
LCM(91719,91730) = 8413383870 / 1
LCM(91719,91730) = 8413383870

Least Common Multiple (LCM) of 91719 and 91730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91719 and 91730. First we will calculate the prime factors of 91719 and 91730.

Prime Factorization of 91719

Prime factors of 91719 are 3, 43, 79. Prime factorization of 91719 in exponential form is:

91719 = 33 × 431 × 791

Prime Factorization of 91730

Prime factors of 91730 are 2, 5, 9173. Prime factorization of 91730 in exponential form is:

91730 = 21 × 51 × 91731

Now multiplying the highest exponent prime factors to calculate the LCM of 91719 and 91730.

LCM(91719,91730) = 33 × 431 × 791 × 21 × 51 × 91731
LCM(91719,91730) = 8413383870