What is the Least Common Multiple of 33067 and 33073?
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 33067 and 33073 is 1093624891.
LCM(33067,33073) = 1093624891
Least Common Multiple of 33067 and 33073 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33067 and 33073, than apply into the LCM equation.
GCF(33067,33073) = 1
LCM(33067,33073) = ( 33067 × 33073) / 1
LCM(33067,33073) = 1093624891 / 1
LCM(33067,33073) = 1093624891
Least Common Multiple (LCM) of 33067 and 33073 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 33067 and 33073. First we will calculate the prime factors of 33067 and 33073.
Prime Factorization of 33067
Prime factors of 33067 are 43, 769. Prime factorization of 33067 in exponential form is:
33067 = 431 × 7691
Prime Factorization of 33073
Prime factors of 33073 are 33073. Prime factorization of 33073 in exponential form is:
33073 = 330731
Now multiplying the highest exponent prime factors to calculate the LCM of 33067 and 33073.
LCM(33067,33073) = 431 × 7691 × 330731
LCM(33067,33073) = 1093624891
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