What is the Least Common Multiple of 56573 and 56589?
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 56573 and 56589 is 3201409497.
LCM(56573,56589) = 3201409497
Least Common Multiple of 56573 and 56589 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56573 and 56589, than apply into the LCM equation.
GCF(56573,56589) = 1
LCM(56573,56589) = ( 56573 × 56589) / 1
LCM(56573,56589) = 3201409497 / 1
LCM(56573,56589) = 3201409497
Least Common Multiple (LCM) of 56573 and 56589 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56573 and 56589. First we will calculate the prime factors of 56573 and 56589.
Prime Factorization of 56573
Prime factors of 56573 are 11, 37, 139. Prime factorization of 56573 in exponential form is:
56573 = 111 × 371 × 1391
Prime Factorization of 56589
Prime factors of 56589 are 3, 13, 1451. Prime factorization of 56589 in exponential form is:
56589 = 31 × 131 × 14511
Now multiplying the highest exponent prime factors to calculate the LCM of 56573 and 56589.
LCM(56573,56589) = 111 × 371 × 1391 × 31 × 131 × 14511
LCM(56573,56589) = 3201409497
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