What is the Least Common Multiple of 58463 and 58481?
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 58463 and 58481 is 3418974703.
LCM(58463,58481) = 3418974703
Least Common Multiple of 58463 and 58481 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58463 and 58481, than apply into the LCM equation.
GCF(58463,58481) = 1
LCM(58463,58481) = ( 58463 × 58481) / 1
LCM(58463,58481) = 3418974703 / 1
LCM(58463,58481) = 3418974703
Least Common Multiple (LCM) of 58463 and 58481 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58463 and 58481. First we will calculate the prime factors of 58463 and 58481.
Prime Factorization of 58463
Prime factors of 58463 are 17, 19, 181. Prime factorization of 58463 in exponential form is:
58463 = 171 × 191 × 1811
Prime Factorization of 58481
Prime factors of 58481 are 58481. Prime factorization of 58481 in exponential form is:
58481 = 584811
Now multiplying the highest exponent prime factors to calculate the LCM of 58463 and 58481.
LCM(58463,58481) = 171 × 191 × 1811 × 584811
LCM(58463,58481) = 3418974703
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