What is the Least Common Multiple of 12633 and 12647?
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 12633 and 12647 is 159769551.
LCM(12633,12647) = 159769551
Least Common Multiple of 12633 and 12647 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12633 and 12647, than apply into the LCM equation.
GCF(12633,12647) = 1
LCM(12633,12647) = ( 12633 × 12647) / 1
LCM(12633,12647) = 159769551 / 1
LCM(12633,12647) = 159769551
Least Common Multiple (LCM) of 12633 and 12647 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12633 and 12647. First we will calculate the prime factors of 12633 and 12647.
Prime Factorization of 12633
Prime factors of 12633 are 3, 4211. Prime factorization of 12633 in exponential form is:
12633 = 31 × 42111
Prime Factorization of 12647
Prime factors of 12647 are 12647. Prime factorization of 12647 in exponential form is:
12647 = 126471
Now multiplying the highest exponent prime factors to calculate the LCM of 12633 and 12647.
LCM(12633,12647) = 31 × 42111 × 126471
LCM(12633,12647) = 159769551
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