What is the Least Common Multiple of 56580 and 56591?
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 56591 is 3201918780.
LCM(56580,56591) = 3201918780
Least Common Multiple of 56580 and 56591 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 56591, than apply into the LCM equation.
GCF(56580,56591) = 1
LCM(56580,56591) = ( 56580 × 56591) / 1
LCM(56580,56591) = 3201918780 / 1
LCM(56580,56591) = 3201918780
Least Common Multiple (LCM) of 56580 and 56591 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56580 and 56591. First we will calculate the prime factors of 56580 and 56591.
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 56591
Prime factors of 56591 are 56591. Prime factorization of 56591 in exponential form is:
56591 = 565911
Now multiplying the highest exponent prime factors to calculate the LCM of 56580 and 56591.
LCM(56580,56591) = 22 × 31 × 51 × 231 × 411 × 565911
LCM(56580,56591) = 3201918780
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Related Least Common Multiples of 56591
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