What is the Least Common Multiple of 56580 and 56600?
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 56580 and 56600 is 160121400.
LCM(56580,56600) = 160121400
Least Common Multiple of 56580 and 56600 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56580 and 56600, than apply into the LCM equation.
GCF(56580,56600) = 20
LCM(56580,56600) = ( 56580 × 56600) / 20
LCM(56580,56600) = 3202428000 / 20
LCM(56580,56600) = 160121400
Least Common Multiple (LCM) of 56580 and 56600 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56580 and 56600. First we will calculate the prime factors of 56580 and 56600.
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
Prime Factorization of 56600
Prime factors of 56600 are 2, 5, 283. Prime factorization of 56600 in exponential form is:
56600 = 23 × 52 × 2831
Now multiplying the highest exponent prime factors to calculate the LCM of 56580 and 56600.
LCM(56580,56600) = 23 × 31 × 52 × 231 × 411 × 2831
LCM(56580,56600) = 160121400
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