What is the Least Common Multiple of 42893 and 42904?
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 42893 and 42904 is 1840281272.
LCM(42893,42904) = 1840281272
Least Common Multiple of 42893 and 42904 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42893 and 42904, than apply into the LCM equation.
GCF(42893,42904) = 1
LCM(42893,42904) = ( 42893 × 42904) / 1
LCM(42893,42904) = 1840281272 / 1
LCM(42893,42904) = 1840281272
Least Common Multiple (LCM) of 42893 and 42904 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42893 and 42904. First we will calculate the prime factors of 42893 and 42904.
Prime Factorization of 42893
Prime factors of 42893 are 59, 727. Prime factorization of 42893 in exponential form is:
42893 = 591 × 7271
Prime Factorization of 42904
Prime factors of 42904 are 2, 31, 173. Prime factorization of 42904 in exponential form is:
42904 = 23 × 311 × 1731
Now multiplying the highest exponent prime factors to calculate the LCM of 42893 and 42904.
LCM(42893,42904) = 591 × 7271 × 23 × 311 × 1731
LCM(42893,42904) = 1840281272
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