What is the Least Common Multiple of 56574 and 56582?
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 56574 and 56582 is 1600535034.
LCM(56574,56582) = 1600535034
Least Common Multiple of 56574 and 56582 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56574 and 56582, than apply into the LCM equation.
GCF(56574,56582) = 2
LCM(56574,56582) = ( 56574 × 56582) / 2
LCM(56574,56582) = 3201070068 / 2
LCM(56574,56582) = 1600535034
Least Common Multiple (LCM) of 56574 and 56582 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56574 and 56582. First we will calculate the prime factors of 56574 and 56582.
Prime Factorization of 56574
Prime factors of 56574 are 2, 3, 7, 449. Prime factorization of 56574 in exponential form is:
56574 = 21 × 32 × 71 × 4491
Prime Factorization of 56582
Prime factors of 56582 are 2, 19, 1489. Prime factorization of 56582 in exponential form is:
56582 = 21 × 191 × 14891
Now multiplying the highest exponent prime factors to calculate the LCM of 56574 and 56582.
LCM(56574,56582) = 21 × 32 × 71 × 4491 × 191 × 14891
LCM(56574,56582) = 1600535034
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