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What is the Least Common Multiple of 91740 and 91745?

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 91740 and 91745 is 1683337260.

LCM(91740,91745) = 1683337260

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Least Common Multiple of 91740 and 91745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91740 and 91745, than apply into the LCM equation.

GCF(91740,91745) = 5
LCM(91740,91745) = ( 91740 × 91745) / 5
LCM(91740,91745) = 8416686300 / 5
LCM(91740,91745) = 1683337260

Least Common Multiple (LCM) of 91740 and 91745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91740 and 91745. First we will calculate the prime factors of 91740 and 91745.

Prime Factorization of 91740

Prime factors of 91740 are 2, 3, 5, 11, 139. Prime factorization of 91740 in exponential form is:

91740 = 22 × 31 × 51 × 111 × 1391

Prime Factorization of 91745

Prime factors of 91745 are 5, 59, 311. Prime factorization of 91745 in exponential form is:

91745 = 51 × 591 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 91740 and 91745.

LCM(91740,91745) = 22 × 31 × 51 × 111 × 1391 × 591 × 3111
LCM(91740,91745) = 1683337260