What is the Least Common Multiple of 11673 and 11692?
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 11673 and 11692 is 136480716.
LCM(11673,11692) = 136480716
Least Common Multiple of 11673 and 11692 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11673 and 11692, than apply into the LCM equation.
GCF(11673,11692) = 1
LCM(11673,11692) = ( 11673 × 11692) / 1
LCM(11673,11692) = 136480716 / 1
LCM(11673,11692) = 136480716
Least Common Multiple (LCM) of 11673 and 11692 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11673 and 11692. First we will calculate the prime factors of 11673 and 11692.
Prime Factorization of 11673
Prime factors of 11673 are 3, 1297. Prime factorization of 11673 in exponential form is:
11673 = 32 × 12971
Prime Factorization of 11692
Prime factors of 11692 are 2, 37, 79. Prime factorization of 11692 in exponential form is:
11692 = 22 × 371 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 11673 and 11692.
LCM(11673,11692) = 32 × 12971 × 22 × 371 × 791
LCM(11673,11692) = 136480716
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