What is the Least Common Multiple of 40633 and 40637?
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 40633 and 40637 is 1651203221.
LCM(40633,40637) = 1651203221
Least Common Multiple of 40633 and 40637 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40633 and 40637, than apply into the LCM equation.
GCF(40633,40637) = 1
LCM(40633,40637) = ( 40633 × 40637) / 1
LCM(40633,40637) = 1651203221 / 1
LCM(40633,40637) = 1651203221
Least Common Multiple (LCM) of 40633 and 40637 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40633 and 40637. First we will calculate the prime factors of 40633 and 40637.
Prime Factorization of 40633
Prime factors of 40633 are 179, 227. Prime factorization of 40633 in exponential form is:
40633 = 1791 × 2271
Prime Factorization of 40637
Prime factors of 40637 are 40637. Prime factorization of 40637 in exponential form is:
40637 = 406371
Now multiplying the highest exponent prime factors to calculate the LCM of 40633 and 40637.
LCM(40633,40637) = 1791 × 2271 × 406371
LCM(40633,40637) = 1651203221
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