What is the Least Common Multiple of 48886 and 48899?
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 48886 and 48899 is 2390476514.
LCM(48886,48899) = 2390476514
Least Common Multiple of 48886 and 48899 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48886 and 48899, than apply into the LCM equation.
GCF(48886,48899) = 1
LCM(48886,48899) = ( 48886 × 48899) / 1
LCM(48886,48899) = 2390476514 / 1
LCM(48886,48899) = 2390476514
Least Common Multiple (LCM) of 48886 and 48899 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 48886 and 48899. First we will calculate the prime factors of 48886 and 48899.
Prime Factorization of 48886
Prime factors of 48886 are 2, 24443. Prime factorization of 48886 in exponential form is:
48886 = 21 × 244431
Prime Factorization of 48899
Prime factors of 48899 are 107, 457. Prime factorization of 48899 in exponential form is:
48899 = 1071 × 4571
Now multiplying the highest exponent prime factors to calculate the LCM of 48886 and 48899.
LCM(48886,48899) = 21 × 244431 × 1071 × 4571
LCM(48886,48899) = 2390476514
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