What is the Least Common Multiple of 12640 and 12657?
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 12640 and 12657 is 159984480.
LCM(12640,12657) = 159984480
Least Common Multiple of 12640 and 12657 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12640 and 12657, than apply into the LCM equation.
GCF(12640,12657) = 1
LCM(12640,12657) = ( 12640 × 12657) / 1
LCM(12640,12657) = 159984480 / 1
LCM(12640,12657) = 159984480
Least Common Multiple (LCM) of 12640 and 12657 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12640 and 12657. First we will calculate the prime factors of 12640 and 12657.
Prime Factorization of 12640
Prime factors of 12640 are 2, 5, 79. Prime factorization of 12640 in exponential form is:
12640 = 25 × 51 × 791
Prime Factorization of 12657
Prime factors of 12657 are 3, 4219. Prime factorization of 12657 in exponential form is:
12657 = 31 × 42191
Now multiplying the highest exponent prime factors to calculate the LCM of 12640 and 12657.
LCM(12640,12657) = 25 × 51 × 791 × 31 × 42191
LCM(12640,12657) = 159984480
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