What is the Least Common Multiple of 33998 and 34015?
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 33998 and 34015 is 1156441970.
LCM(33998,34015) = 1156441970
Least Common Multiple of 33998 and 34015 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33998 and 34015, than apply into the LCM equation.
GCF(33998,34015) = 1
LCM(33998,34015) = ( 33998 × 34015) / 1
LCM(33998,34015) = 1156441970 / 1
LCM(33998,34015) = 1156441970
Least Common Multiple (LCM) of 33998 and 34015 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 33998 and 34015. First we will calculate the prime factors of 33998 and 34015.
Prime Factorization of 33998
Prime factors of 33998 are 2, 89, 191. Prime factorization of 33998 in exponential form is:
33998 = 21 × 891 × 1911
Prime Factorization of 34015
Prime factors of 34015 are 5, 6803. Prime factorization of 34015 in exponential form is:
34015 = 51 × 68031
Now multiplying the highest exponent prime factors to calculate the LCM of 33998 and 34015.
LCM(33998,34015) = 21 × 891 × 1911 × 51 × 68031
LCM(33998,34015) = 1156441970
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