What is the Least Common Multiple of 31793 and 31813?
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 31793 and 31813 is 1011430709.
LCM(31793,31813) = 1011430709
Least Common Multiple of 31793 and 31813 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31793 and 31813, than apply into the LCM equation.
GCF(31793,31813) = 1
LCM(31793,31813) = ( 31793 × 31813) / 1
LCM(31793,31813) = 1011430709 / 1
LCM(31793,31813) = 1011430709
Least Common Multiple (LCM) of 31793 and 31813 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 31793 and 31813. First we will calculate the prime factors of 31793 and 31813.
Prime Factorization of 31793
Prime factors of 31793 are 31793. Prime factorization of 31793 in exponential form is:
31793 = 317931
Prime Factorization of 31813
Prime factors of 31813 are 29, 1097. Prime factorization of 31813 in exponential form is:
31813 = 291 × 10971
Now multiplying the highest exponent prime factors to calculate the LCM of 31793 and 31813.
LCM(31793,31813) = 317931 × 291 × 10971
LCM(31793,31813) = 1011430709
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