What is the Least Common Multiple of 23757 and 23773?
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 23757 and 23773 is 564775161.
LCM(23757,23773) = 564775161
Least Common Multiple of 23757 and 23773 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23757 and 23773, than apply into the LCM equation.
GCF(23757,23773) = 1
LCM(23757,23773) = ( 23757 × 23773) / 1
LCM(23757,23773) = 564775161 / 1
LCM(23757,23773) = 564775161
Least Common Multiple (LCM) of 23757 and 23773 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 23757 and 23773. First we will calculate the prime factors of 23757 and 23773.
Prime Factorization of 23757
Prime factors of 23757 are 3, 7919. Prime factorization of 23757 in exponential form is:
23757 = 31 × 79191
Prime Factorization of 23773
Prime factors of 23773 are 23773. Prime factorization of 23773 in exponential form is:
23773 = 237731
Now multiplying the highest exponent prime factors to calculate the LCM of 23757 and 23773.
LCM(23757,23773) = 31 × 79191 × 237731
LCM(23757,23773) = 564775161
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