What is the Least Common Multiple of 48862 and 48869?
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 48862 and 48869 is 2387837078.
LCM(48862,48869) = 2387837078
Least Common Multiple of 48862 and 48869 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48862 and 48869, than apply into the LCM equation.
GCF(48862,48869) = 1
LCM(48862,48869) = ( 48862 × 48869) / 1
LCM(48862,48869) = 2387837078 / 1
LCM(48862,48869) = 2387837078
Least Common Multiple (LCM) of 48862 and 48869 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 48862 and 48869. First we will calculate the prime factors of 48862 and 48869.
Prime Factorization of 48862
Prime factors of 48862 are 2, 11, 2221. Prime factorization of 48862 in exponential form is:
48862 = 21 × 111 × 22211
Prime Factorization of 48869
Prime factors of 48869 are 48869. Prime factorization of 48869 in exponential form is:
48869 = 488691
Now multiplying the highest exponent prime factors to calculate the LCM of 48862 and 48869.
LCM(48862,48869) = 21 × 111 × 22211 × 488691
LCM(48862,48869) = 2387837078
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