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What is the Least Common Multiple of 65769 and 65782?

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 65769 and 65782 is 4326416358.

LCM(65769,65782) = 4326416358

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Least Common Multiple of 65769 and 65782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65769 and 65782, than apply into the LCM equation.

GCF(65769,65782) = 1
LCM(65769,65782) = ( 65769 × 65782) / 1
LCM(65769,65782) = 4326416358 / 1
LCM(65769,65782) = 4326416358

Least Common Multiple (LCM) of 65769 and 65782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65769 and 65782. First we will calculate the prime factors of 65769 and 65782.

Prime Factorization of 65769

Prime factors of 65769 are 3, 11, 1993. Prime factorization of 65769 in exponential form is:

65769 = 31 × 111 × 19931

Prime Factorization of 65782

Prime factors of 65782 are 2, 31, 1061. Prime factorization of 65782 in exponential form is:

65782 = 21 × 311 × 10611

Now multiplying the highest exponent prime factors to calculate the LCM of 65769 and 65782.

LCM(65769,65782) = 31 × 111 × 19931 × 21 × 311 × 10611
LCM(65769,65782) = 4326416358