What is the Least Common Multiple of 22831 and 22851?
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 22831 and 22851 is 521711181.
LCM(22831,22851) = 521711181
Least Common Multiple of 22831 and 22851 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22831 and 22851, than apply into the LCM equation.
GCF(22831,22851) = 1
LCM(22831,22851) = ( 22831 × 22851) / 1
LCM(22831,22851) = 521711181 / 1
LCM(22831,22851) = 521711181
Least Common Multiple (LCM) of 22831 and 22851 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22831 and 22851. First we will calculate the prime factors of 22831 and 22851.
Prime Factorization of 22831
Prime factors of 22831 are 17, 79. Prime factorization of 22831 in exponential form is:
22831 = 172 × 791
Prime Factorization of 22851
Prime factors of 22851 are 3, 2539. Prime factorization of 22851 in exponential form is:
22851 = 32 × 25391
Now multiplying the highest exponent prime factors to calculate the LCM of 22831 and 22851.
LCM(22831,22851) = 172 × 791 × 32 × 25391
LCM(22831,22851) = 521711181
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