What is the Least Common Multiple of 44898 and 44903?
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 44898 and 44903 is 2016054894.
LCM(44898,44903) = 2016054894
Least Common Multiple of 44898 and 44903 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44898 and 44903, than apply into the LCM equation.
GCF(44898,44903) = 1
LCM(44898,44903) = ( 44898 × 44903) / 1
LCM(44898,44903) = 2016054894 / 1
LCM(44898,44903) = 2016054894
Least Common Multiple (LCM) of 44898 and 44903 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44898 and 44903. First we will calculate the prime factors of 44898 and 44903.
Prime Factorization of 44898
Prime factors of 44898 are 2, 3, 7, 1069. Prime factorization of 44898 in exponential form is:
44898 = 21 × 31 × 71 × 10691
Prime Factorization of 44903
Prime factors of 44903 are 83, 541. Prime factorization of 44903 in exponential form is:
44903 = 831 × 5411
Now multiplying the highest exponent prime factors to calculate the LCM of 44898 and 44903.
LCM(44898,44903) = 21 × 31 × 71 × 10691 × 831 × 5411
LCM(44898,44903) = 2016054894
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