What is the Least Common Multiple of 56574 and 56580?
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 56580 is 533492820.
LCM(56574,56580) = 533492820
Least Common Multiple of 56574 and 56580 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 56580, than apply into the LCM equation.
GCF(56574,56580) = 6
LCM(56574,56580) = ( 56574 × 56580) / 6
LCM(56574,56580) = 3200956920 / 6
LCM(56574,56580) = 533492820
Least Common Multiple (LCM) of 56574 and 56580 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56574 and 56580. First we will calculate the prime factors of 56574 and 56580.
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 56580
Prime factors of 56580 are 2, 3, 5, 23, 41. Prime factorization of 56580 in exponential form is:
56580 = 22 × 31 × 51 × 231 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 56574 and 56580.
LCM(56574,56580) = 22 × 32 × 71 × 4491 × 51 × 231 × 411
LCM(56574,56580) = 533492820
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