What is the Least Common Multiple of 33039 and 33050?
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 33039 and 33050 is 1091938950.
LCM(33039,33050) = 1091938950
Least Common Multiple of 33039 and 33050 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33039 and 33050, than apply into the LCM equation.
GCF(33039,33050) = 1
LCM(33039,33050) = ( 33039 × 33050) / 1
LCM(33039,33050) = 1091938950 / 1
LCM(33039,33050) = 1091938950
Least Common Multiple (LCM) of 33039 and 33050 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 33039 and 33050. First we will calculate the prime factors of 33039 and 33050.
Prime Factorization of 33039
Prime factors of 33039 are 3, 3671. Prime factorization of 33039 in exponential form is:
33039 = 32 × 36711
Prime Factorization of 33050
Prime factors of 33050 are 2, 5, 661. Prime factorization of 33050 in exponential form is:
33050 = 21 × 52 × 6611
Now multiplying the highest exponent prime factors to calculate the LCM of 33039 and 33050.
LCM(33039,33050) = 32 × 36711 × 21 × 52 × 6611
LCM(33039,33050) = 1091938950
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