What is the Least Common Multiple of 33952 and 33966?
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 33952 and 33966 is 576606816.
LCM(33952,33966) = 576606816
Least Common Multiple of 33952 and 33966 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33952 and 33966, than apply into the LCM equation.
GCF(33952,33966) = 2
LCM(33952,33966) = ( 33952 × 33966) / 2
LCM(33952,33966) = 1153213632 / 2
LCM(33952,33966) = 576606816
Least Common Multiple (LCM) of 33952 and 33966 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 33952 and 33966. First we will calculate the prime factors of 33952 and 33966.
Prime Factorization of 33952
Prime factors of 33952 are 2, 1061. Prime factorization of 33952 in exponential form is:
33952 = 25 × 10611
Prime Factorization of 33966
Prime factors of 33966 are 2, 3, 17, 37. Prime factorization of 33966 in exponential form is:
33966 = 21 × 33 × 171 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 33952 and 33966.
LCM(33952,33966) = 25 × 10611 × 33 × 171 × 371
LCM(33952,33966) = 576606816
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