What is the Least Common Multiple of 12690 and 12708?
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 12690 and 12708 is 8959140.
LCM(12690,12708) = 8959140
Least Common Multiple of 12690 and 12708 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12690 and 12708, than apply into the LCM equation.
GCF(12690,12708) = 18
LCM(12690,12708) = ( 12690 × 12708) / 18
LCM(12690,12708) = 161264520 / 18
LCM(12690,12708) = 8959140
Least Common Multiple (LCM) of 12690 and 12708 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12690 and 12708. First we will calculate the prime factors of 12690 and 12708.
Prime Factorization of 12690
Prime factors of 12690 are 2, 3, 5, 47. Prime factorization of 12690 in exponential form is:
12690 = 21 × 33 × 51 × 471
Prime Factorization of 12708
Prime factors of 12708 are 2, 3, 353. Prime factorization of 12708 in exponential form is:
12708 = 22 × 32 × 3531
Now multiplying the highest exponent prime factors to calculate the LCM of 12690 and 12708.
LCM(12690,12708) = 22 × 33 × 51 × 471 × 3531
LCM(12690,12708) = 8959140
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