What is the Least Common Multiple of 13062 and 13078?
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 13062 and 13078 is 85412418.
LCM(13062,13078) = 85412418
Least Common Multiple of 13062 and 13078 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13062 and 13078, than apply into the LCM equation.
GCF(13062,13078) = 2
LCM(13062,13078) = ( 13062 × 13078) / 2
LCM(13062,13078) = 170824836 / 2
LCM(13062,13078) = 85412418
Least Common Multiple (LCM) of 13062 and 13078 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13062 and 13078. First we will calculate the prime factors of 13062 and 13078.
Prime Factorization of 13062
Prime factors of 13062 are 2, 3, 7, 311. Prime factorization of 13062 in exponential form is:
13062 = 21 × 31 × 71 × 3111
Prime Factorization of 13078
Prime factors of 13078 are 2, 13, 503. Prime factorization of 13078 in exponential form is:
13078 = 21 × 131 × 5031
Now multiplying the highest exponent prime factors to calculate the LCM of 13062 and 13078.
LCM(13062,13078) = 21 × 31 × 71 × 3111 × 131 × 5031
LCM(13062,13078) = 85412418
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