What is the Least Common Multiple of 62590 and 62594?
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 62590 and 62594 is 1958879230.
LCM(62590,62594) = 1958879230
Least Common Multiple of 62590 and 62594 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62590 and 62594, than apply into the LCM equation.
GCF(62590,62594) = 2
LCM(62590,62594) = ( 62590 × 62594) / 2
LCM(62590,62594) = 3917758460 / 2
LCM(62590,62594) = 1958879230
Least Common Multiple (LCM) of 62590 and 62594 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62590 and 62594. First we will calculate the prime factors of 62590 and 62594.
Prime Factorization of 62590
Prime factors of 62590 are 2, 5, 11, 569. Prime factorization of 62590 in exponential form is:
62590 = 21 × 51 × 111 × 5691
Prime Factorization of 62594
Prime factors of 62594 are 2, 7, 17, 263. Prime factorization of 62594 in exponential form is:
62594 = 21 × 71 × 171 × 2631
Now multiplying the highest exponent prime factors to calculate the LCM of 62590 and 62594.
LCM(62590,62594) = 21 × 51 × 111 × 5691 × 71 × 171 × 2631
LCM(62590,62594) = 1958879230
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