What is the Least Common Multiple of 56578 and 56597?
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 56597 is 3202145066.
LCM(56578,56597) = 3202145066
Least Common Multiple of 56578 and 56597 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 56597, than apply into the LCM equation.
GCF(56578,56597) = 1
LCM(56578,56597) = ( 56578 × 56597) / 1
LCM(56578,56597) = 3202145066 / 1
LCM(56578,56597) = 3202145066
Least Common Multiple (LCM) of 56578 and 56597 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56578 and 56597. First we will calculate the prime factors of 56578 and 56597.
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 56597
Prime factors of 56597 are 56597. Prime factorization of 56597 in exponential form is:
56597 = 565971
Now multiplying the highest exponent prime factors to calculate the LCM of 56578 and 56597.
LCM(56578,56597) = 21 × 282891 × 565971
LCM(56578,56597) = 3202145066
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