What is the Least Common Multiple of 56568 and 56587?
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 56568 and 56587 is 3201013416.
LCM(56568,56587) = 3201013416
Least Common Multiple of 56568 and 56587 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56568 and 56587, than apply into the LCM equation.
GCF(56568,56587) = 1
LCM(56568,56587) = ( 56568 × 56587) / 1
LCM(56568,56587) = 3201013416 / 1
LCM(56568,56587) = 3201013416
Least Common Multiple (LCM) of 56568 and 56587 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56568 and 56587. First we will calculate the prime factors of 56568 and 56587.
Prime Factorization of 56568
Prime factors of 56568 are 2, 3, 2357. Prime factorization of 56568 in exponential form is:
56568 = 23 × 31 × 23571
Prime Factorization of 56587
Prime factors of 56587 are 71, 797. Prime factorization of 56587 in exponential form is:
56587 = 711 × 7971
Now multiplying the highest exponent prime factors to calculate the LCM of 56568 and 56587.
LCM(56568,56587) = 23 × 31 × 23571 × 711 × 7971
LCM(56568,56587) = 3201013416
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