What is the Least Common Multiple of 4586 and 4594?
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 4586 and 4594 is 10534042.
LCM(4586,4594) = 10534042
Least Common Multiple of 4586 and 4594 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4586 and 4594, than apply into the LCM equation.
GCF(4586,4594) = 2
LCM(4586,4594) = ( 4586 × 4594) / 2
LCM(4586,4594) = 21068084 / 2
LCM(4586,4594) = 10534042
Least Common Multiple (LCM) of 4586 and 4594 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4586 and 4594. First we will calculate the prime factors of 4586 and 4594.
Prime Factorization of 4586
Prime factors of 4586 are 2, 2293. Prime factorization of 4586 in exponential form is:
4586 = 21 × 22931
Prime Factorization of 4594
Prime factors of 4594 are 2, 2297. Prime factorization of 4594 in exponential form is:
4594 = 21 × 22971
Now multiplying the highest exponent prime factors to calculate the LCM of 4586 and 4594.
LCM(4586,4594) = 21 × 22931 × 22971
LCM(4586,4594) = 10534042
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