What is the Least Common Multiple of 42043 and 42049?
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 42043 and 42049 is 1767866107.
LCM(42043,42049) = 1767866107
Least Common Multiple of 42043 and 42049 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42043 and 42049, than apply into the LCM equation.
GCF(42043,42049) = 1
LCM(42043,42049) = ( 42043 × 42049) / 1
LCM(42043,42049) = 1767866107 / 1
LCM(42043,42049) = 1767866107
Least Common Multiple (LCM) of 42043 and 42049 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42043 and 42049. First we will calculate the prime factors of 42043 and 42049.
Prime Factorization of 42043
Prime factors of 42043 are 42043. Prime factorization of 42043 in exponential form is:
42043 = 420431
Prime Factorization of 42049
Prime factors of 42049 are 7, 6007. Prime factorization of 42049 in exponential form is:
42049 = 71 × 60071
Now multiplying the highest exponent prime factors to calculate the LCM of 42043 and 42049.
LCM(42043,42049) = 420431 × 71 × 60071
LCM(42043,42049) = 1767866107
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