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What is the Least Common Multiple of 65755 and 65770?

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 65755 and 65770 is 864941270.

LCM(65755,65770) = 864941270

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Least Common Multiple of 65755 and 65770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65755 and 65770, than apply into the LCM equation.

GCF(65755,65770) = 5
LCM(65755,65770) = ( 65755 × 65770) / 5
LCM(65755,65770) = 4324706350 / 5
LCM(65755,65770) = 864941270

Least Common Multiple (LCM) of 65755 and 65770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65755 and 65770. First we will calculate the prime factors of 65755 and 65770.

Prime Factorization of 65755

Prime factors of 65755 are 5, 13151. Prime factorization of 65755 in exponential form is:

65755 = 51 × 131511

Prime Factorization of 65770

Prime factors of 65770 are 2, 5, 6577. Prime factorization of 65770 in exponential form is:

65770 = 21 × 51 × 65771

Now multiplying the highest exponent prime factors to calculate the LCM of 65755 and 65770.

LCM(65755,65770) = 51 × 131511 × 21 × 65771
LCM(65755,65770) = 864941270