What is the Least Common Multiple of 56574 and 56583?
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 56583 is 355680738.
LCM(56574,56583) = 355680738
Least Common Multiple of 56574 and 56583 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 56583, than apply into the LCM equation.
GCF(56574,56583) = 9
LCM(56574,56583) = ( 56574 × 56583) / 9
LCM(56574,56583) = 3201126642 / 9
LCM(56574,56583) = 355680738
Least Common Multiple (LCM) of 56574 and 56583 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56574 and 56583. First we will calculate the prime factors of 56574 and 56583.
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 56583
Prime factors of 56583 are 3, 6287. Prime factorization of 56583 in exponential form is:
56583 = 32 × 62871
Now multiplying the highest exponent prime factors to calculate the LCM of 56574 and 56583.
LCM(56574,56583) = 21 × 32 × 71 × 4491 × 62871
LCM(56574,56583) = 355680738
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