What is the Least Common Multiple of 33155 and 33163?
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 33155 and 33163 is 1099519265.
LCM(33155,33163) = 1099519265
Least Common Multiple of 33155 and 33163 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33155 and 33163, than apply into the LCM equation.
GCF(33155,33163) = 1
LCM(33155,33163) = ( 33155 × 33163) / 1
LCM(33155,33163) = 1099519265 / 1
LCM(33155,33163) = 1099519265
Least Common Multiple (LCM) of 33155 and 33163 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 33155 and 33163. First we will calculate the prime factors of 33155 and 33163.
Prime Factorization of 33155
Prime factors of 33155 are 5, 19, 349. Prime factorization of 33155 in exponential form is:
33155 = 51 × 191 × 3491
Prime Factorization of 33163
Prime factors of 33163 are 13, 2551. Prime factorization of 33163 in exponential form is:
33163 = 131 × 25511
Now multiplying the highest exponent prime factors to calculate the LCM of 33155 and 33163.
LCM(33155,33163) = 51 × 191 × 3491 × 131 × 25511
LCM(33155,33163) = 1099519265
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