What is the Least Common Multiple of 53049 and 53056?
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 53049 and 53056 is 2814567744.
LCM(53049,53056) = 2814567744
Least Common Multiple of 53049 and 53056 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53049 and 53056, than apply into the LCM equation.
GCF(53049,53056) = 1
LCM(53049,53056) = ( 53049 × 53056) / 1
LCM(53049,53056) = 2814567744 / 1
LCM(53049,53056) = 2814567744
Least Common Multiple (LCM) of 53049 and 53056 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 53049 and 53056. First we will calculate the prime factors of 53049 and 53056.
Prime Factorization of 53049
Prime factors of 53049 are 3, 17683. Prime factorization of 53049 in exponential form is:
53049 = 31 × 176831
Prime Factorization of 53056
Prime factors of 53056 are 2, 829. Prime factorization of 53056 in exponential form is:
53056 = 26 × 8291
Now multiplying the highest exponent prime factors to calculate the LCM of 53049 and 53056.
LCM(53049,53056) = 31 × 176831 × 26 × 8291
LCM(53049,53056) = 2814567744
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