What is the Least Common Multiple of 65479 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 65479 and 65498 is 4288743542.
LCM(65479,65498) = 4288743542
Least Common Multiple of 65479 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 65479 and 65498, than apply into the LCM equation.
GCF(65479,65498) = 1
LCM(65479,65498) = ( 65479 × 65498) / 1
LCM(65479,65498) = 4288743542 / 1
LCM(65479,65498) = 4288743542
Least Common Multiple (LCM) of 65479 and 65498 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65479 and 65498. First we will calculate the prime factors of 65479 and 65498.
Prime Factorization of 65479
Prime factors of 65479 are 65479. Prime factorization of 65479 in exponential form is:
65479 = 654791
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 65479 and 65498.
LCM(65479,65498) = 654791 × 21 × 327491
LCM(65479,65498) = 4288743542
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