What is the Least Common Multiple of 48841 and 48858?
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 48841 and 48858 is 140369034.
LCM(48841,48858) = 140369034
Least Common Multiple of 48841 and 48858 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48841 and 48858, than apply into the LCM equation.
GCF(48841,48858) = 17
LCM(48841,48858) = ( 48841 × 48858) / 17
LCM(48841,48858) = 2386273578 / 17
LCM(48841,48858) = 140369034
Least Common Multiple (LCM) of 48841 and 48858 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 48841 and 48858. First we will calculate the prime factors of 48841 and 48858.
Prime Factorization of 48841
Prime factors of 48841 are 13, 17. Prime factorization of 48841 in exponential form is:
48841 = 132 × 172
Prime Factorization of 48858
Prime factors of 48858 are 2, 3, 17, 479. Prime factorization of 48858 in exponential form is:
48858 = 21 × 31 × 171 × 4791
Now multiplying the highest exponent prime factors to calculate the LCM of 48841 and 48858.
LCM(48841,48858) = 132 × 172 × 21 × 31 × 4791
LCM(48841,48858) = 140369034
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