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What is the Least Common Multiple of 91765 and 91775?

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 91765 and 91775 is 1684346575.

LCM(91765,91775) = 1684346575

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Least Common Multiple of 91765 and 91775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91765 and 91775, than apply into the LCM equation.

GCF(91765,91775) = 5
LCM(91765,91775) = ( 91765 × 91775) / 5
LCM(91765,91775) = 8421732875 / 5
LCM(91765,91775) = 1684346575

Least Common Multiple (LCM) of 91765 and 91775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91765 and 91775. First we will calculate the prime factors of 91765 and 91775.

Prime Factorization of 91765

Prime factors of 91765 are 5, 18353. Prime factorization of 91765 in exponential form is:

91765 = 51 × 183531

Prime Factorization of 91775

Prime factors of 91775 are 5, 3671. Prime factorization of 91775 in exponential form is:

91775 = 52 × 36711

Now multiplying the highest exponent prime factors to calculate the LCM of 91765 and 91775.

LCM(91765,91775) = 52 × 183531 × 36711
LCM(91765,91775) = 1684346575