What is the Least Common Multiple of 65474 and 65479?
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 65474 and 65479 is 4287172046.
LCM(65474,65479) = 4287172046
Least Common Multiple of 65474 and 65479 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65474 and 65479, than apply into the LCM equation.
GCF(65474,65479) = 1
LCM(65474,65479) = ( 65474 × 65479) / 1
LCM(65474,65479) = 4287172046 / 1
LCM(65474,65479) = 4287172046
Least Common Multiple (LCM) of 65474 and 65479 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65474 and 65479. First we will calculate the prime factors of 65474 and 65479.
Prime Factorization of 65474
Prime factors of 65474 are 2, 19, 1723. Prime factorization of 65474 in exponential form is:
65474 = 21 × 191 × 17231
Prime Factorization of 65479
Prime factors of 65479 are 65479. Prime factorization of 65479 in exponential form is:
65479 = 654791
Now multiplying the highest exponent prime factors to calculate the LCM of 65474 and 65479.
LCM(65474,65479) = 21 × 191 × 17231 × 654791
LCM(65474,65479) = 4287172046
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