What is the Least Common Multiple of 5048 and 5056?
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 5048 and 5056 is 3190336.
LCM(5048,5056) = 3190336
Least Common Multiple of 5048 and 5056 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5048 and 5056, than apply into the LCM equation.
GCF(5048,5056) = 8
LCM(5048,5056) = ( 5048 × 5056) / 8
LCM(5048,5056) = 25522688 / 8
LCM(5048,5056) = 3190336
Least Common Multiple (LCM) of 5048 and 5056 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5048 and 5056. First we will calculate the prime factors of 5048 and 5056.
Prime Factorization of 5048
Prime factors of 5048 are 2, 631. Prime factorization of 5048 in exponential form is:
5048 = 23 × 6311
Prime Factorization of 5056
Prime factors of 5056 are 2, 79. Prime factorization of 5056 in exponential form is:
5056 = 26 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 5048 and 5056.
LCM(5048,5056) = 26 × 6311 × 791
LCM(5048,5056) = 3190336
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