What is the Least Common Multiple of 23107 and 23119?
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 23107 and 23119 is 534210733.
LCM(23107,23119) = 534210733
Least Common Multiple of 23107 and 23119 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23107 and 23119, than apply into the LCM equation.
GCF(23107,23119) = 1
LCM(23107,23119) = ( 23107 × 23119) / 1
LCM(23107,23119) = 534210733 / 1
LCM(23107,23119) = 534210733
Least Common Multiple (LCM) of 23107 and 23119 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 23107 and 23119. First we will calculate the prime factors of 23107 and 23119.
Prime Factorization of 23107
Prime factors of 23107 are 7, 3301. Prime factorization of 23107 in exponential form is:
23107 = 71 × 33011
Prime Factorization of 23119
Prime factors of 23119 are 61, 379. Prime factorization of 23119 in exponential form is:
23119 = 611 × 3791
Now multiplying the highest exponent prime factors to calculate the LCM of 23107 and 23119.
LCM(23107,23119) = 71 × 33011 × 611 × 3791
LCM(23107,23119) = 534210733
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