What is the Least Common Multiple of 23056 and 23063?
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 23056 and 23063 is 531740528.
LCM(23056,23063) = 531740528
Least Common Multiple of 23056 and 23063 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23056 and 23063, than apply into the LCM equation.
GCF(23056,23063) = 1
LCM(23056,23063) = ( 23056 × 23063) / 1
LCM(23056,23063) = 531740528 / 1
LCM(23056,23063) = 531740528
Least Common Multiple (LCM) of 23056 and 23063 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 23056 and 23063. First we will calculate the prime factors of 23056 and 23063.
Prime Factorization of 23056
Prime factors of 23056 are 2, 11, 131. Prime factorization of 23056 in exponential form is:
23056 = 24 × 111 × 1311
Prime Factorization of 23063
Prime factors of 23063 are 23063. Prime factorization of 23063 in exponential form is:
23063 = 230631
Now multiplying the highest exponent prime factors to calculate the LCM of 23056 and 23063.
LCM(23056,23063) = 24 × 111 × 1311 × 230631
LCM(23056,23063) = 531740528
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