What is the Least Common Multiple of 44437 and 44447?
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 44437 and 44447 is 1975091339.
LCM(44437,44447) = 1975091339
Least Common Multiple of 44437 and 44447 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44437 and 44447, than apply into the LCM equation.
GCF(44437,44447) = 1
LCM(44437,44447) = ( 44437 × 44447) / 1
LCM(44437,44447) = 1975091339 / 1
LCM(44437,44447) = 1975091339
Least Common Multiple (LCM) of 44437 and 44447 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44437 and 44447. First we will calculate the prime factors of 44437 and 44447.
Prime Factorization of 44437
Prime factors of 44437 are 37, 1201. Prime factorization of 44437 in exponential form is:
44437 = 371 × 12011
Prime Factorization of 44447
Prime factors of 44447 are 13, 263. Prime factorization of 44447 in exponential form is:
44447 = 132 × 2631
Now multiplying the highest exponent prime factors to calculate the LCM of 44437 and 44447.
LCM(44437,44447) = 371 × 12011 × 132 × 2631
LCM(44437,44447) = 1975091339
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