What is the Least Common Multiple of 65489 and 65498?
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 65489 and 65498 is 4289398522.
LCM(65489,65498) = 4289398522
Least Common Multiple of 65489 and 65498 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65489 and 65498, than apply into the LCM equation.
GCF(65489,65498) = 1
LCM(65489,65498) = ( 65489 × 65498) / 1
LCM(65489,65498) = 4289398522 / 1
LCM(65489,65498) = 4289398522
Least Common Multiple (LCM) of 65489 and 65498 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65489 and 65498. First we will calculate the prime factors of 65489 and 65498.
Prime Factorization of 65489
Prime factors of 65489 are 43, 1523. Prime factorization of 65489 in exponential form is:
65489 = 431 × 15231
Prime Factorization of 65498
Prime factors of 65498 are 2, 32749. Prime factorization of 65498 in exponential form is:
65498 = 21 × 327491
Now multiplying the highest exponent prime factors to calculate the LCM of 65489 and 65498.
LCM(65489,65498) = 431 × 15231 × 21 × 327491
LCM(65489,65498) = 4289398522
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