What is the Least Common Multiple of 65401 and 65419?
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 65401 and 65419 is 4278468019.
LCM(65401,65419) = 4278468019
Least Common Multiple of 65401 and 65419 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65401 and 65419, than apply into the LCM equation.
GCF(65401,65419) = 1
LCM(65401,65419) = ( 65401 × 65419) / 1
LCM(65401,65419) = 4278468019 / 1
LCM(65401,65419) = 4278468019
Least Common Multiple (LCM) of 65401 and 65419 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65401 and 65419. First we will calculate the prime factors of 65401 and 65419.
Prime Factorization of 65401
Prime factors of 65401 are 7, 9343. Prime factorization of 65401 in exponential form is:
65401 = 71 × 93431
Prime Factorization of 65419
Prime factors of 65419 are 65419. Prime factorization of 65419 in exponential form is:
65419 = 654191
Now multiplying the highest exponent prime factors to calculate the LCM of 65401 and 65419.
LCM(65401,65419) = 71 × 93431 × 654191
LCM(65401,65419) = 4278468019
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