What is the Least Common Multiple of 12837 and 12852?
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 12837 and 12852 is 54993708.
LCM(12837,12852) = 54993708
Least Common Multiple of 12837 and 12852 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12837 and 12852, than apply into the LCM equation.
GCF(12837,12852) = 3
LCM(12837,12852) = ( 12837 × 12852) / 3
LCM(12837,12852) = 164981124 / 3
LCM(12837,12852) = 54993708
Least Common Multiple (LCM) of 12837 and 12852 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12837 and 12852. First we will calculate the prime factors of 12837 and 12852.
Prime Factorization of 12837
Prime factors of 12837 are 3, 11, 389. Prime factorization of 12837 in exponential form is:
12837 = 31 × 111 × 3891
Prime Factorization of 12852
Prime factors of 12852 are 2, 3, 7, 17. Prime factorization of 12852 in exponential form is:
12852 = 22 × 33 × 71 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 12837 and 12852.
LCM(12837,12852) = 33 × 111 × 3891 × 22 × 71 × 171
LCM(12837,12852) = 54993708
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