What is the Least Common Multiple of 48073 and 48089?
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 48073 and 48089 is 2311782497.
LCM(48073,48089) = 2311782497
Least Common Multiple of 48073 and 48089 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48073 and 48089, than apply into the LCM equation.
GCF(48073,48089) = 1
LCM(48073,48089) = ( 48073 × 48089) / 1
LCM(48073,48089) = 2311782497 / 1
LCM(48073,48089) = 2311782497
Least Common Multiple (LCM) of 48073 and 48089 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 48073 and 48089. First we will calculate the prime factors of 48073 and 48089.
Prime Factorization of 48073
Prime factors of 48073 are 48073. Prime factorization of 48073 in exponential form is:
48073 = 480731
Prime Factorization of 48089
Prime factors of 48089 are 19, 2531. Prime factorization of 48089 in exponential form is:
48089 = 191 × 25311
Now multiplying the highest exponent prime factors to calculate the LCM of 48073 and 48089.
LCM(48073,48089) = 480731 × 191 × 25311
LCM(48073,48089) = 2311782497
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