What is the Least Common Multiple of 33877 and 33895?
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 33877 and 33895 is 1148260915.
LCM(33877,33895) = 1148260915
Least Common Multiple of 33877 and 33895 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33877 and 33895, than apply into the LCM equation.
GCF(33877,33895) = 1
LCM(33877,33895) = ( 33877 × 33895) / 1
LCM(33877,33895) = 1148260915 / 1
LCM(33877,33895) = 1148260915
Least Common Multiple (LCM) of 33877 and 33895 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 33877 and 33895. First we will calculate the prime factors of 33877 and 33895.
Prime Factorization of 33877
Prime factors of 33877 are 19, 1783. Prime factorization of 33877 in exponential form is:
33877 = 191 × 17831
Prime Factorization of 33895
Prime factors of 33895 are 5, 6779. Prime factorization of 33895 in exponential form is:
33895 = 51 × 67791
Now multiplying the highest exponent prime factors to calculate the LCM of 33877 and 33895.
LCM(33877,33895) = 191 × 17831 × 51 × 67791
LCM(33877,33895) = 1148260915
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