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What is the Least Common Multiple of 765 and 775?

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 765 and 775 is 118575.

LCM(765,775) = 118575

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Least Common Multiple of 765 and 775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 765 and 775, than apply into the LCM equation.

GCF(765,775) = 5
LCM(765,775) = ( 765 × 775) / 5
LCM(765,775) = 592875 / 5
LCM(765,775) = 118575

Least Common Multiple (LCM) of 765 and 775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 765 and 775. First we will calculate the prime factors of 765 and 775.

Prime Factorization of 765

Prime factors of 765 are 3, 5, 17. Prime factorization of 765 in exponential form is:

765 = 32 × 51 × 171

Prime Factorization of 775

Prime factors of 775 are 5, 31. Prime factorization of 775 in exponential form is:

775 = 52 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 765 and 775.

LCM(765,775) = 32 × 52 × 171 × 311
LCM(765,775) = 118575