What is the Least Common Multiple of 33727 and 33737?
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 33727 and 33737 is 1137847799.
LCM(33727,33737) = 1137847799
Least Common Multiple of 33727 and 33737 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33727 and 33737, than apply into the LCM equation.
GCF(33727,33737) = 1
LCM(33727,33737) = ( 33727 × 33737) / 1
LCM(33727,33737) = 1137847799 / 1
LCM(33727,33737) = 1137847799
Least Common Multiple (LCM) of 33727 and 33737 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 33727 and 33737. First we will calculate the prime factors of 33727 and 33737.
Prime Factorization of 33727
Prime factors of 33727 are 29, 1163. Prime factorization of 33727 in exponential form is:
33727 = 291 × 11631
Prime Factorization of 33737
Prime factors of 33737 are 11, 3067. Prime factorization of 33737 in exponential form is:
33737 = 111 × 30671
Now multiplying the highest exponent prime factors to calculate the LCM of 33727 and 33737.
LCM(33727,33737) = 291 × 11631 × 111 × 30671
LCM(33727,33737) = 1137847799
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