What is the Least Common Multiple of 60843 and 60848?
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 60848 is 3702174864.
LCM(60843,60848) = 3702174864
Least Common Multiple of 60843 and 60848 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 60848, than apply into the LCM equation.
GCF(60843,60848) = 1
LCM(60843,60848) = ( 60843 × 60848) / 1
LCM(60843,60848) = 3702174864 / 1
LCM(60843,60848) = 3702174864
Least Common Multiple (LCM) of 60843 and 60848 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60843 and 60848. First we will calculate the prime factors of 60843 and 60848.
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 60848
Prime factors of 60848 are 2, 3803. Prime factorization of 60848 in exponential form is:
60848 = 24 × 38031
Now multiplying the highest exponent prime factors to calculate the LCM of 60843 and 60848.
LCM(60843,60848) = 31 × 171 × 11931 × 24 × 38031
LCM(60843,60848) = 3702174864
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