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What is the Least Common Multiple of 91719 and 91723?

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 91723 is 8412741837.

LCM(91719,91723) = 8412741837

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Least Common Multiple of 91719 and 91723 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 91723, than apply into the LCM equation.

GCF(91719,91723) = 1
LCM(91719,91723) = ( 91719 × 91723) / 1
LCM(91719,91723) = 8412741837 / 1
LCM(91719,91723) = 8412741837

Least Common Multiple (LCM) of 91719 and 91723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91719 and 91723. First we will calculate the prime factors of 91719 and 91723.

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 91723

Prime factors of 91723 are 37, 67. Prime factorization of 91723 in exponential form is:

91723 = 372 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 91719 and 91723.

LCM(91719,91723) = 33 × 431 × 791 × 372 × 671
LCM(91719,91723) = 8412741837