What is the Least Common Multiple of 58841 and 58861?
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 58841 and 58861 is 3463440101.
LCM(58841,58861) = 3463440101
Least Common Multiple of 58841 and 58861 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58841 and 58861, than apply into the LCM equation.
GCF(58841,58861) = 1
LCM(58841,58861) = ( 58841 × 58861) / 1
LCM(58841,58861) = 3463440101 / 1
LCM(58841,58861) = 3463440101
Least Common Multiple (LCM) of 58841 and 58861 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58841 and 58861. First we will calculate the prime factors of 58841 and 58861.
Prime Factorization of 58841
Prime factors of 58841 are 29, 2029. Prime factorization of 58841 in exponential form is:
58841 = 291 × 20291
Prime Factorization of 58861
Prime factors of 58861 are 11, 5351. Prime factorization of 58861 in exponential form is:
58861 = 111 × 53511
Now multiplying the highest exponent prime factors to calculate the LCM of 58841 and 58861.
LCM(58841,58861) = 291 × 20291 × 111 × 53511
LCM(58841,58861) = 3463440101
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