What is the Least Common Multiple of 65126 and 65142?
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 65126 and 65142 is 2121218946.
LCM(65126,65142) = 2121218946
Least Common Multiple of 65126 and 65142 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65126 and 65142, than apply into the LCM equation.
GCF(65126,65142) = 2
LCM(65126,65142) = ( 65126 × 65142) / 2
LCM(65126,65142) = 4242437892 / 2
LCM(65126,65142) = 2121218946
Least Common Multiple (LCM) of 65126 and 65142 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65126 and 65142. First we will calculate the prime factors of 65126 and 65142.
Prime Factorization of 65126
Prime factors of 65126 are 2, 32563. Prime factorization of 65126 in exponential form is:
65126 = 21 × 325631
Prime Factorization of 65142
Prime factors of 65142 are 2, 3, 7, 11, 47. Prime factorization of 65142 in exponential form is:
65142 = 21 × 32 × 71 × 111 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 65126 and 65142.
LCM(65126,65142) = 21 × 325631 × 32 × 71 × 111 × 471
LCM(65126,65142) = 2121218946
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