What is the Least Common Multiple of 4580 and 4588?
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 4580 and 4588 is 5253260.
LCM(4580,4588) = 5253260
Least Common Multiple of 4580 and 4588 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4580 and 4588, than apply into the LCM equation.
GCF(4580,4588) = 4
LCM(4580,4588) = ( 4580 × 4588) / 4
LCM(4580,4588) = 21013040 / 4
LCM(4580,4588) = 5253260
Least Common Multiple (LCM) of 4580 and 4588 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4580 and 4588. First we will calculate the prime factors of 4580 and 4588.
Prime Factorization of 4580
Prime factors of 4580 are 2, 5, 229. Prime factorization of 4580 in exponential form is:
4580 = 22 × 51 × 2291
Prime Factorization of 4588
Prime factors of 4588 are 2, 31, 37. Prime factorization of 4588 in exponential form is:
4588 = 22 × 311 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 4580 and 4588.
LCM(4580,4588) = 22 × 51 × 2291 × 311 × 371
LCM(4580,4588) = 5253260
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