What is the Least Common Multiple of 33069 and 33083?
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 33069 and 33083 is 1094021727.
LCM(33069,33083) = 1094021727
Least Common Multiple of 33069 and 33083 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33069 and 33083, than apply into the LCM equation.
GCF(33069,33083) = 1
LCM(33069,33083) = ( 33069 × 33083) / 1
LCM(33069,33083) = 1094021727 / 1
LCM(33069,33083) = 1094021727
Least Common Multiple (LCM) of 33069 and 33083 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 33069 and 33083. First we will calculate the prime factors of 33069 and 33083.
Prime Factorization of 33069
Prime factors of 33069 are 3, 73, 151. Prime factorization of 33069 in exponential form is:
33069 = 31 × 731 × 1511
Prime Factorization of 33083
Prime factors of 33083 are 33083. Prime factorization of 33083 in exponential form is:
33083 = 330831
Now multiplying the highest exponent prime factors to calculate the LCM of 33069 and 33083.
LCM(33069,33083) = 31 × 731 × 1511 × 330831
LCM(33069,33083) = 1094021727
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