What is the Least Common Multiple of 48876 and 48883?
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 48876 and 48883 is 2389205508.
LCM(48876,48883) = 2389205508
Least Common Multiple of 48876 and 48883 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48876 and 48883, than apply into the LCM equation.
GCF(48876,48883) = 1
LCM(48876,48883) = ( 48876 × 48883) / 1
LCM(48876,48883) = 2389205508 / 1
LCM(48876,48883) = 2389205508
Least Common Multiple (LCM) of 48876 and 48883 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 48876 and 48883. First we will calculate the prime factors of 48876 and 48883.
Prime Factorization of 48876
Prime factors of 48876 are 2, 3, 4073. Prime factorization of 48876 in exponential form is:
48876 = 22 × 31 × 40731
Prime Factorization of 48883
Prime factors of 48883 are 48883. Prime factorization of 48883 in exponential form is:
48883 = 488831
Now multiplying the highest exponent prime factors to calculate the LCM of 48876 and 48883.
LCM(48876,48883) = 22 × 31 × 40731 × 488831
LCM(48876,48883) = 2389205508
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