What is the Least Common Multiple of 49017 and 49031?
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 49017 and 49031 is 2403352527.
LCM(49017,49031) = 2403352527
Least Common Multiple of 49017 and 49031 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49017 and 49031, than apply into the LCM equation.
GCF(49017,49031) = 1
LCM(49017,49031) = ( 49017 × 49031) / 1
LCM(49017,49031) = 2403352527 / 1
LCM(49017,49031) = 2403352527
Least Common Multiple (LCM) of 49017 and 49031 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49017 and 49031. First we will calculate the prime factors of 49017 and 49031.
Prime Factorization of 49017
Prime factors of 49017 are 3, 16339. Prime factorization of 49017 in exponential form is:
49017 = 31 × 163391
Prime Factorization of 49031
Prime factors of 49031 are 49031. Prime factorization of 49031 in exponential form is:
49031 = 490311
Now multiplying the highest exponent prime factors to calculate the LCM of 49017 and 49031.
LCM(49017,49031) = 31 × 163391 × 490311
LCM(49017,49031) = 2403352527
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