What is the Least Common Multiple of 31723 and 31727?
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 31723 and 31727 is 1006475621.
LCM(31723,31727) = 1006475621
Least Common Multiple of 31723 and 31727 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31723 and 31727, than apply into the LCM equation.
GCF(31723,31727) = 1
LCM(31723,31727) = ( 31723 × 31727) / 1
LCM(31723,31727) = 1006475621 / 1
LCM(31723,31727) = 1006475621
Least Common Multiple (LCM) of 31723 and 31727 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 31723 and 31727. First we will calculate the prime factors of 31723 and 31727.
Prime Factorization of 31723
Prime factors of 31723 are 31723. Prime factorization of 31723 in exponential form is:
31723 = 317231
Prime Factorization of 31727
Prime factors of 31727 are 31727. Prime factorization of 31727 in exponential form is:
31727 = 317271
Now multiplying the highest exponent prime factors to calculate the LCM of 31723 and 31727.
LCM(31723,31727) = 317231 × 317271
LCM(31723,31727) = 1006475621
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Related Least Common Multiples of 31727
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