What is the Least Common Multiple of 65061 and 65065?
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 65061 and 65065 is 4233193965.
LCM(65061,65065) = 4233193965
Least Common Multiple of 65061 and 65065 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65061 and 65065, than apply into the LCM equation.
GCF(65061,65065) = 1
LCM(65061,65065) = ( 65061 × 65065) / 1
LCM(65061,65065) = 4233193965 / 1
LCM(65061,65065) = 4233193965
Least Common Multiple (LCM) of 65061 and 65065 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65061 and 65065. First we will calculate the prime factors of 65061 and 65065.
Prime Factorization of 65061
Prime factors of 65061 are 3, 7229. Prime factorization of 65061 in exponential form is:
65061 = 32 × 72291
Prime Factorization of 65065
Prime factors of 65065 are 5, 7, 11, 13. Prime factorization of 65065 in exponential form is:
65065 = 51 × 71 × 111 × 132
Now multiplying the highest exponent prime factors to calculate the LCM of 65061 and 65065.
LCM(65061,65065) = 32 × 72291 × 51 × 71 × 111 × 132
LCM(65061,65065) = 4233193965
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