What is the Least Common Multiple of 60843 and 60847?
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 60843 and 60847 is 3702114021.
LCM(60843,60847) = 3702114021
Least Common Multiple of 60843 and 60847 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60843 and 60847, than apply into the LCM equation.
GCF(60843,60847) = 1
LCM(60843,60847) = ( 60843 × 60847) / 1
LCM(60843,60847) = 3702114021 / 1
LCM(60843,60847) = 3702114021
Least Common Multiple (LCM) of 60843 and 60847 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60843 and 60847. First we will calculate the prime factors of 60843 and 60847.
Prime Factorization of 60843
Prime factors of 60843 are 3, 17, 1193. Prime factorization of 60843 in exponential form is:
60843 = 31 × 171 × 11931
Prime Factorization of 60847
Prime factors of 60847 are 71, 857. Prime factorization of 60847 in exponential form is:
60847 = 711 × 8571
Now multiplying the highest exponent prime factors to calculate the LCM of 60843 and 60847.
LCM(60843,60847) = 31 × 171 × 11931 × 711 × 8571
LCM(60843,60847) = 3702114021
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