What is the Least Common Multiple of 56574 and 56581?
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 56581 is 457287642.
LCM(56574,56581) = 457287642
Least Common Multiple of 56574 and 56581 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 56581, than apply into the LCM equation.
GCF(56574,56581) = 7
LCM(56574,56581) = ( 56574 × 56581) / 7
LCM(56574,56581) = 3201013494 / 7
LCM(56574,56581) = 457287642
Least Common Multiple (LCM) of 56574 and 56581 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56574 and 56581. First we will calculate the prime factors of 56574 and 56581.
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 56581
Prime factors of 56581 are 7, 59, 137. Prime factorization of 56581 in exponential form is:
56581 = 71 × 591 × 1371
Now multiplying the highest exponent prime factors to calculate the LCM of 56574 and 56581.
LCM(56574,56581) = 21 × 32 × 71 × 4491 × 591 × 1371
LCM(56574,56581) = 457287642
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