What is the Least Common Multiple of 56560 and 56578?
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 56560 and 56578 is 1600025840.
LCM(56560,56578) = 1600025840
Least Common Multiple of 56560 and 56578 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56560 and 56578, than apply into the LCM equation.
GCF(56560,56578) = 2
LCM(56560,56578) = ( 56560 × 56578) / 2
LCM(56560,56578) = 3200051680 / 2
LCM(56560,56578) = 1600025840
Least Common Multiple (LCM) of 56560 and 56578 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56560 and 56578. First we will calculate the prime factors of 56560 and 56578.
Prime Factorization of 56560
Prime factors of 56560 are 2, 5, 7, 101. Prime factorization of 56560 in exponential form is:
56560 = 24 × 51 × 71 × 1011
Prime Factorization of 56578
Prime factors of 56578 are 2, 28289. Prime factorization of 56578 in exponential form is:
56578 = 21 × 282891
Now multiplying the highest exponent prime factors to calculate the LCM of 56560 and 56578.
LCM(56560,56578) = 24 × 51 × 71 × 1011 × 282891
LCM(56560,56578) = 1600025840
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