What is the Least Common Multiple of 23048 and 23059?
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 23048 and 23059 is 531463832.
LCM(23048,23059) = 531463832
Least Common Multiple of 23048 and 23059 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23048 and 23059, than apply into the LCM equation.
GCF(23048,23059) = 1
LCM(23048,23059) = ( 23048 × 23059) / 1
LCM(23048,23059) = 531463832 / 1
LCM(23048,23059) = 531463832
Least Common Multiple (LCM) of 23048 and 23059 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 23048 and 23059. First we will calculate the prime factors of 23048 and 23059.
Prime Factorization of 23048
Prime factors of 23048 are 2, 43, 67. Prime factorization of 23048 in exponential form is:
23048 = 23 × 431 × 671
Prime Factorization of 23059
Prime factors of 23059 are 23059. Prime factorization of 23059 in exponential form is:
23059 = 230591
Now multiplying the highest exponent prime factors to calculate the LCM of 23048 and 23059.
LCM(23048,23059) = 23 × 431 × 671 × 230591
LCM(23048,23059) = 531463832
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