What is the Least Common Multiple of 33197 and 33216?
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 33197 and 33216 is 1102671552.
LCM(33197,33216) = 1102671552
Least Common Multiple of 33197 and 33216 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33197 and 33216, than apply into the LCM equation.
GCF(33197,33216) = 1
LCM(33197,33216) = ( 33197 × 33216) / 1
LCM(33197,33216) = 1102671552 / 1
LCM(33197,33216) = 1102671552
Least Common Multiple (LCM) of 33197 and 33216 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 33197 and 33216. First we will calculate the prime factors of 33197 and 33216.
Prime Factorization of 33197
Prime factors of 33197 are 89, 373. Prime factorization of 33197 in exponential form is:
33197 = 891 × 3731
Prime Factorization of 33216
Prime factors of 33216 are 2, 3, 173. Prime factorization of 33216 in exponential form is:
33216 = 26 × 31 × 1731
Now multiplying the highest exponent prime factors to calculate the LCM of 33197 and 33216.
LCM(33197,33216) = 891 × 3731 × 26 × 31 × 1731
LCM(33197,33216) = 1102671552
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