What is the Least Common Multiple of 12664 and 12674?
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 12664 and 12674 is 80251768.
LCM(12664,12674) = 80251768
Least Common Multiple of 12664 and 12674 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12664 and 12674, than apply into the LCM equation.
GCF(12664,12674) = 2
LCM(12664,12674) = ( 12664 × 12674) / 2
LCM(12664,12674) = 160503536 / 2
LCM(12664,12674) = 80251768
Least Common Multiple (LCM) of 12664 and 12674 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12664 and 12674. First we will calculate the prime factors of 12664 and 12674.
Prime Factorization of 12664
Prime factors of 12664 are 2, 1583. Prime factorization of 12664 in exponential form is:
12664 = 23 × 15831
Prime Factorization of 12674
Prime factors of 12674 are 2, 6337. Prime factorization of 12674 in exponential form is:
12674 = 21 × 63371
Now multiplying the highest exponent prime factors to calculate the LCM of 12664 and 12674.
LCM(12664,12674) = 23 × 15831 × 63371
LCM(12664,12674) = 80251768
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