What is the Least Common Multiple of 44127 and 44135?
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 44127 and 44135 is 1947545145.
LCM(44127,44135) = 1947545145
Least Common Multiple of 44127 and 44135 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44127 and 44135, than apply into the LCM equation.
GCF(44127,44135) = 1
LCM(44127,44135) = ( 44127 × 44135) / 1
LCM(44127,44135) = 1947545145 / 1
LCM(44127,44135) = 1947545145
Least Common Multiple (LCM) of 44127 and 44135 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44127 and 44135. First we will calculate the prime factors of 44127 and 44135.
Prime Factorization of 44127
Prime factors of 44127 are 3, 4903. Prime factorization of 44127 in exponential form is:
44127 = 32 × 49031
Prime Factorization of 44135
Prime factors of 44135 are 5, 7, 13, 97. Prime factorization of 44135 in exponential form is:
44135 = 51 × 71 × 131 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 44127 and 44135.
LCM(44127,44135) = 32 × 49031 × 51 × 71 × 131 × 971
LCM(44127,44135) = 1947545145
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