What is the Least Common Multiple of 14636 and 14645?
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 14636 and 14645 is 214344220.
LCM(14636,14645) = 214344220
Least Common Multiple of 14636 and 14645 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14636 and 14645, than apply into the LCM equation.
GCF(14636,14645) = 1
LCM(14636,14645) = ( 14636 × 14645) / 1
LCM(14636,14645) = 214344220 / 1
LCM(14636,14645) = 214344220
Least Common Multiple (LCM) of 14636 and 14645 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 14636 and 14645. First we will calculate the prime factors of 14636 and 14645.
Prime Factorization of 14636
Prime factors of 14636 are 2, 3659. Prime factorization of 14636 in exponential form is:
14636 = 22 × 36591
Prime Factorization of 14645
Prime factors of 14645 are 5, 29, 101. Prime factorization of 14645 in exponential form is:
14645 = 51 × 291 × 1011
Now multiplying the highest exponent prime factors to calculate the LCM of 14636 and 14645.
LCM(14636,14645) = 22 × 36591 × 51 × 291 × 1011
LCM(14636,14645) = 214344220
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