What is the Least Common Multiple of 65765 and 65773?
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 65765 and 65773 is 4325561345.
LCM(65765,65773) = 4325561345
Least Common Multiple of 65765 and 65773 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65765 and 65773, than apply into the LCM equation.
GCF(65765,65773) = 1
LCM(65765,65773) = ( 65765 × 65773) / 1
LCM(65765,65773) = 4325561345 / 1
LCM(65765,65773) = 4325561345
Least Common Multiple (LCM) of 65765 and 65773 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65765 and 65773. First we will calculate the prime factors of 65765 and 65773.
Prime Factorization of 65765
Prime factors of 65765 are 5, 7, 1879. Prime factorization of 65765 in exponential form is:
65765 = 51 × 71 × 18791
Prime Factorization of 65773
Prime factors of 65773 are 17, 53, 73. Prime factorization of 65773 in exponential form is:
65773 = 171 × 531 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 65765 and 65773.
LCM(65765,65773) = 51 × 71 × 18791 × 171 × 531 × 731
LCM(65765,65773) = 4325561345
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