What is the Least Common Multiple of 58841 and 58846?
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 58846 is 3462557486.
LCM(58841,58846) = 3462557486
Least Common Multiple of 58841 and 58846 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 58846, than apply into the LCM equation.
GCF(58841,58846) = 1
LCM(58841,58846) = ( 58841 × 58846) / 1
LCM(58841,58846) = 3462557486 / 1
LCM(58841,58846) = 3462557486
Least Common Multiple (LCM) of 58841 and 58846 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58841 and 58846. First we will calculate the prime factors of 58841 and 58846.
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 58846
Prime factors of 58846 are 2, 29423. Prime factorization of 58846 in exponential form is:
58846 = 21 × 294231
Now multiplying the highest exponent prime factors to calculate the LCM of 58841 and 58846.
LCM(58841,58846) = 291 × 20291 × 21 × 294231
LCM(58841,58846) = 3462557486
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