What is the Least Common Multiple of 633 and 645?
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 633 and 645 is 136095.
LCM(633,645) = 136095
Least Common Multiple of 633 and 645 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 633 and 645, than apply into the LCM equation.
GCF(633,645) = 3
LCM(633,645) = ( 633 × 645) / 3
LCM(633,645) = 408285 / 3
LCM(633,645) = 136095
Least Common Multiple (LCM) of 633 and 645 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 633 and 645. First we will calculate the prime factors of 633 and 645.
Prime Factorization of 633
Prime factors of 633 are 3, 211. Prime factorization of 633 in exponential form is:
633 = 31 × 2111
Prime Factorization of 645
Prime factors of 645 are 3, 5, 43. Prime factorization of 645 in exponential form is:
645 = 31 × 51 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 633 and 645.
LCM(633,645) = 31 × 2111 × 51 × 431
LCM(633,645) = 136095
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