What is the Least Common Multiple of 60841 and 60846?
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 60841 and 60846 is 3701931486.
LCM(60841,60846) = 3701931486
Least Common Multiple of 60841 and 60846 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60841 and 60846, than apply into the LCM equation.
GCF(60841,60846) = 1
LCM(60841,60846) = ( 60841 × 60846) / 1
LCM(60841,60846) = 3701931486 / 1
LCM(60841,60846) = 3701931486
Least Common Multiple (LCM) of 60841 and 60846 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60841 and 60846. First we will calculate the prime factors of 60841 and 60846.
Prime Factorization of 60841
Prime factors of 60841 are 11, 5531. Prime factorization of 60841 in exponential form is:
60841 = 111 × 55311
Prime Factorization of 60846
Prime factors of 60846 are 2, 3, 10141. Prime factorization of 60846 in exponential form is:
60846 = 21 × 31 × 101411
Now multiplying the highest exponent prime factors to calculate the LCM of 60841 and 60846.
LCM(60841,60846) = 111 × 55311 × 21 × 31 × 101411
LCM(60841,60846) = 3701931486
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