What is the Least Common Multiple of 56471 and 56479?
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 56471 and 56479 is 3189425609.
LCM(56471,56479) = 3189425609
Least Common Multiple of 56471 and 56479 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56471 and 56479, than apply into the LCM equation.
GCF(56471,56479) = 1
LCM(56471,56479) = ( 56471 × 56479) / 1
LCM(56471,56479) = 3189425609 / 1
LCM(56471,56479) = 3189425609
Least Common Multiple (LCM) of 56471 and 56479 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56471 and 56479. First we will calculate the prime factors of 56471 and 56479.
Prime Factorization of 56471
Prime factors of 56471 are 149, 379. Prime factorization of 56471 in exponential form is:
56471 = 1491 × 3791
Prime Factorization of 56479
Prime factors of 56479 are 56479. Prime factorization of 56479 in exponential form is:
56479 = 564791
Now multiplying the highest exponent prime factors to calculate the LCM of 56471 and 56479.
LCM(56471,56479) = 1491 × 3791 × 564791
LCM(56471,56479) = 3189425609
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