What is the Least Common Multiple of 56564 and 56571?
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 56564 and 56571 is 3199882044.
LCM(56564,56571) = 3199882044
Least Common Multiple of 56564 and 56571 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56564 and 56571, than apply into the LCM equation.
GCF(56564,56571) = 1
LCM(56564,56571) = ( 56564 × 56571) / 1
LCM(56564,56571) = 3199882044 / 1
LCM(56564,56571) = 3199882044
Least Common Multiple (LCM) of 56564 and 56571 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56564 and 56571. First we will calculate the prime factors of 56564 and 56571.
Prime Factorization of 56564
Prime factors of 56564 are 2, 79, 179. Prime factorization of 56564 in exponential form is:
56564 = 22 × 791 × 1791
Prime Factorization of 56571
Prime factors of 56571 are 3, 109, 173. Prime factorization of 56571 in exponential form is:
56571 = 31 × 1091 × 1731
Now multiplying the highest exponent prime factors to calculate the LCM of 56564 and 56571.
LCM(56564,56571) = 22 × 791 × 1791 × 31 × 1091 × 1731
LCM(56564,56571) = 3199882044
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