What is the Least Common Multiple of 56576 and 56584?
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 56576 and 56584 is 400162048.
LCM(56576,56584) = 400162048
Least Common Multiple of 56576 and 56584 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56576 and 56584, than apply into the LCM equation.
GCF(56576,56584) = 8
LCM(56576,56584) = ( 56576 × 56584) / 8
LCM(56576,56584) = 3201296384 / 8
LCM(56576,56584) = 400162048
Least Common Multiple (LCM) of 56576 and 56584 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56576 and 56584. First we will calculate the prime factors of 56576 and 56584.
Prime Factorization of 56576
Prime factors of 56576 are 2, 13, 17. Prime factorization of 56576 in exponential form is:
56576 = 28 × 131 × 171
Prime Factorization of 56584
Prime factors of 56584 are 2, 11, 643. Prime factorization of 56584 in exponential form is:
56584 = 23 × 111 × 6431
Now multiplying the highest exponent prime factors to calculate the LCM of 56576 and 56584.
LCM(56576,56584) = 28 × 131 × 171 × 111 × 6431
LCM(56576,56584) = 400162048
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