What is the Least Common Multiple of 58481 and 58495?
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 58481 and 58495 is 3420846095.
LCM(58481,58495) = 3420846095
Least Common Multiple of 58481 and 58495 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58481 and 58495, than apply into the LCM equation.
GCF(58481,58495) = 1
LCM(58481,58495) = ( 58481 × 58495) / 1
LCM(58481,58495) = 3420846095 / 1
LCM(58481,58495) = 3420846095
Least Common Multiple (LCM) of 58481 and 58495 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58481 and 58495. First we will calculate the prime factors of 58481 and 58495.
Prime Factorization of 58481
Prime factors of 58481 are 58481. Prime factorization of 58481 in exponential form is:
58481 = 584811
Prime Factorization of 58495
Prime factors of 58495 are 5, 11699. Prime factorization of 58495 in exponential form is:
58495 = 51 × 116991
Now multiplying the highest exponent prime factors to calculate the LCM of 58481 and 58495.
LCM(58481,58495) = 584811 × 51 × 116991
LCM(58481,58495) = 3420846095
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