What is the Least Common Multiple of 33727 and 33741?
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 33741 is 1137982707.
LCM(33727,33741) = 1137982707
Least Common Multiple of 33727 and 33741 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 33741, than apply into the LCM equation.
GCF(33727,33741) = 1
LCM(33727,33741) = ( 33727 × 33741) / 1
LCM(33727,33741) = 1137982707 / 1
LCM(33727,33741) = 1137982707
Least Common Multiple (LCM) of 33727 and 33741 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 33727 and 33741. First we will calculate the prime factors of 33727 and 33741.
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 33741
Prime factors of 33741 are 3, 23, 163. Prime factorization of 33741 in exponential form is:
33741 = 32 × 231 × 1631
Now multiplying the highest exponent prime factors to calculate the LCM of 33727 and 33741.
LCM(33727,33741) = 291 × 11631 × 32 × 231 × 1631
LCM(33727,33741) = 1137982707
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