What is the Least Common Multiple of 66014 and 66026?
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 66014 and 66026 is 2179320182.
LCM(66014,66026) = 2179320182
Least Common Multiple of 66014 and 66026 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66014 and 66026, than apply into the LCM equation.
GCF(66014,66026) = 2
LCM(66014,66026) = ( 66014 × 66026) / 2
LCM(66014,66026) = 4358640364 / 2
LCM(66014,66026) = 2179320182
Least Common Multiple (LCM) of 66014 and 66026 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66014 and 66026. First we will calculate the prime factors of 66014 and 66026.
Prime Factorization of 66014
Prime factors of 66014 are 2, 13, 2539. Prime factorization of 66014 in exponential form is:
66014 = 21 × 131 × 25391
Prime Factorization of 66026
Prime factors of 66026 are 2, 33013. Prime factorization of 66026 in exponential form is:
66026 = 21 × 330131
Now multiplying the highest exponent prime factors to calculate the LCM of 66014 and 66026.
LCM(66014,66026) = 21 × 131 × 25391 × 330131
LCM(66014,66026) = 2179320182
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