What is the Least Common Multiple of 56578 and 56596?
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 56578 and 56596 is 1601044244.
LCM(56578,56596) = 1601044244
Least Common Multiple of 56578 and 56596 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56578 and 56596, than apply into the LCM equation.
GCF(56578,56596) = 2
LCM(56578,56596) = ( 56578 × 56596) / 2
LCM(56578,56596) = 3202088488 / 2
LCM(56578,56596) = 1601044244
Least Common Multiple (LCM) of 56578 and 56596 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56578 and 56596. First we will calculate the prime factors of 56578 and 56596.
Prime Factorization of 56578
Prime factors of 56578 are 2, 28289. Prime factorization of 56578 in exponential form is:
56578 = 21 × 282891
Prime Factorization of 56596
Prime factors of 56596 are 2, 14149. Prime factorization of 56596 in exponential form is:
56596 = 22 × 141491
Now multiplying the highest exponent prime factors to calculate the LCM of 56578 and 56596.
LCM(56578,56596) = 22 × 282891 × 141491
LCM(56578,56596) = 1601044244
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