What is the Least Common Multiple of 12707 and 12714?
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 12707 and 12714 is 161556798.
LCM(12707,12714) = 161556798
Least Common Multiple of 12707 and 12714 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12707 and 12714, than apply into the LCM equation.
GCF(12707,12714) = 1
LCM(12707,12714) = ( 12707 × 12714) / 1
LCM(12707,12714) = 161556798 / 1
LCM(12707,12714) = 161556798
Least Common Multiple (LCM) of 12707 and 12714 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12707 and 12714. First we will calculate the prime factors of 12707 and 12714.
Prime Factorization of 12707
Prime factors of 12707 are 97, 131. Prime factorization of 12707 in exponential form is:
12707 = 971 × 1311
Prime Factorization of 12714
Prime factors of 12714 are 2, 3, 13, 163. Prime factorization of 12714 in exponential form is:
12714 = 21 × 31 × 131 × 1631
Now multiplying the highest exponent prime factors to calculate the LCM of 12707 and 12714.
LCM(12707,12714) = 971 × 1311 × 21 × 31 × 131 × 1631
LCM(12707,12714) = 161556798
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