What is the Least Common Multiple of 33163 and 33182?
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 33163 and 33182 is 1100414666.
LCM(33163,33182) = 1100414666
Least Common Multiple of 33163 and 33182 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33163 and 33182, than apply into the LCM equation.
GCF(33163,33182) = 1
LCM(33163,33182) = ( 33163 × 33182) / 1
LCM(33163,33182) = 1100414666 / 1
LCM(33163,33182) = 1100414666
Least Common Multiple (LCM) of 33163 and 33182 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 33163 and 33182. First we will calculate the prime factors of 33163 and 33182.
Prime Factorization of 33163
Prime factors of 33163 are 13, 2551. Prime factorization of 33163 in exponential form is:
33163 = 131 × 25511
Prime Factorization of 33182
Prime factors of 33182 are 2, 47, 353. Prime factorization of 33182 in exponential form is:
33182 = 21 × 471 × 3531
Now multiplying the highest exponent prime factors to calculate the LCM of 33163 and 33182.
LCM(33163,33182) = 131 × 25511 × 21 × 471 × 3531
LCM(33163,33182) = 1100414666
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