What is the Least Common Multiple of 48881 and 48886?
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 48881 and 48886 is 2389596566.
LCM(48881,48886) = 2389596566
Least Common Multiple of 48881 and 48886 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48881 and 48886, than apply into the LCM equation.
GCF(48881,48886) = 1
LCM(48881,48886) = ( 48881 × 48886) / 1
LCM(48881,48886) = 2389596566 / 1
LCM(48881,48886) = 2389596566
Least Common Multiple (LCM) of 48881 and 48886 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 48881 and 48886. First we will calculate the prime factors of 48881 and 48886.
Prime Factorization of 48881
Prime factors of 48881 are 7, 6983. Prime factorization of 48881 in exponential form is:
48881 = 71 × 69831
Prime Factorization of 48886
Prime factors of 48886 are 2, 24443. Prime factorization of 48886 in exponential form is:
48886 = 21 × 244431
Now multiplying the highest exponent prime factors to calculate the LCM of 48881 and 48886.
LCM(48881,48886) = 71 × 69831 × 21 × 244431
LCM(48881,48886) = 2389596566
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