What is the Least Common Multiple of 65764 and 65779?
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 65764 and 65779 is 4325890156.
LCM(65764,65779) = 4325890156
Least Common Multiple of 65764 and 65779 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65764 and 65779, than apply into the LCM equation.
GCF(65764,65779) = 1
LCM(65764,65779) = ( 65764 × 65779) / 1
LCM(65764,65779) = 4325890156 / 1
LCM(65764,65779) = 4325890156
Least Common Multiple (LCM) of 65764 and 65779 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65764 and 65779. First we will calculate the prime factors of 65764 and 65779.
Prime Factorization of 65764
Prime factors of 65764 are 2, 41, 401. Prime factorization of 65764 in exponential form is:
65764 = 22 × 411 × 4011
Prime Factorization of 65779
Prime factors of 65779 are 7, 9397. Prime factorization of 65779 in exponential form is:
65779 = 71 × 93971
Now multiplying the highest exponent prime factors to calculate the LCM of 65764 and 65779.
LCM(65764,65779) = 22 × 411 × 4011 × 71 × 93971
LCM(65764,65779) = 4325890156
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