What is the Least Common Multiple of 56564 and 56568?
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 56568 is 799928088.
LCM(56564,56568) = 799928088
Least Common Multiple of 56564 and 56568 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 56568, than apply into the LCM equation.
GCF(56564,56568) = 4
LCM(56564,56568) = ( 56564 × 56568) / 4
LCM(56564,56568) = 3199712352 / 4
LCM(56564,56568) = 799928088
Least Common Multiple (LCM) of 56564 and 56568 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56564 and 56568. First we will calculate the prime factors of 56564 and 56568.
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 56568
Prime factors of 56568 are 2, 3, 2357. Prime factorization of 56568 in exponential form is:
56568 = 23 × 31 × 23571
Now multiplying the highest exponent prime factors to calculate the LCM of 56564 and 56568.
LCM(56564,56568) = 23 × 791 × 1791 × 31 × 23571
LCM(56564,56568) = 799928088
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