What is the Least Common Multiple of 48842 and 48862?
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 48842 and 48862 is 1193258902.
LCM(48842,48862) = 1193258902
Least Common Multiple of 48842 and 48862 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48842 and 48862, than apply into the LCM equation.
GCF(48842,48862) = 2
LCM(48842,48862) = ( 48842 × 48862) / 2
LCM(48842,48862) = 2386517804 / 2
LCM(48842,48862) = 1193258902
Least Common Multiple (LCM) of 48842 and 48862 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 48842 and 48862. First we will calculate the prime factors of 48842 and 48862.
Prime Factorization of 48842
Prime factors of 48842 are 2, 24421. Prime factorization of 48842 in exponential form is:
48842 = 21 × 244211
Prime Factorization of 48862
Prime factors of 48862 are 2, 11, 2221. Prime factorization of 48862 in exponential form is:
48862 = 21 × 111 × 22211
Now multiplying the highest exponent prime factors to calculate the LCM of 48842 and 48862.
LCM(48842,48862) = 21 × 244211 × 111 × 22211
LCM(48842,48862) = 1193258902
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