What is the Least Common Multiple of 59814 and 59819?
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 59814 and 59819 is 3578013666.
LCM(59814,59819) = 3578013666
Least Common Multiple of 59814 and 59819 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59814 and 59819, than apply into the LCM equation.
GCF(59814,59819) = 1
LCM(59814,59819) = ( 59814 × 59819) / 1
LCM(59814,59819) = 3578013666 / 1
LCM(59814,59819) = 3578013666
Least Common Multiple (LCM) of 59814 and 59819 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59814 and 59819. First we will calculate the prime factors of 59814 and 59819.
Prime Factorization of 59814
Prime factors of 59814 are 2, 3, 3323. Prime factorization of 59814 in exponential form is:
59814 = 21 × 32 × 33231
Prime Factorization of 59819
Prime factors of 59819 are 41, 1459. Prime factorization of 59819 in exponential form is:
59819 = 411 × 14591
Now multiplying the highest exponent prime factors to calculate the LCM of 59814 and 59819.
LCM(59814,59819) = 21 × 32 × 33231 × 411 × 14591
LCM(59814,59819) = 3578013666
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