What is the Least Common Multiple of 10623 and 10637?
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 10623 and 10637 is 112996851.
LCM(10623,10637) = 112996851
Least Common Multiple of 10623 and 10637 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10623 and 10637, than apply into the LCM equation.
GCF(10623,10637) = 1
LCM(10623,10637) = ( 10623 × 10637) / 1
LCM(10623,10637) = 112996851 / 1
LCM(10623,10637) = 112996851
Least Common Multiple (LCM) of 10623 and 10637 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10623 and 10637. First we will calculate the prime factors of 10623 and 10637.
Prime Factorization of 10623
Prime factors of 10623 are 3, 3541. Prime factorization of 10623 in exponential form is:
10623 = 31 × 35411
Prime Factorization of 10637
Prime factors of 10637 are 11, 967. Prime factorization of 10637 in exponential form is:
10637 = 111 × 9671
Now multiplying the highest exponent prime factors to calculate the LCM of 10623 and 10637.
LCM(10623,10637) = 31 × 35411 × 111 × 9671
LCM(10623,10637) = 112996851
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