What is the Least Common Multiple of 44487 and 44501?
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 44487 and 44501 is 1979715987.
LCM(44487,44501) = 1979715987
Least Common Multiple of 44487 and 44501 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44487 and 44501, than apply into the LCM equation.
GCF(44487,44501) = 1
LCM(44487,44501) = ( 44487 × 44501) / 1
LCM(44487,44501) = 1979715987 / 1
LCM(44487,44501) = 1979715987
Least Common Multiple (LCM) of 44487 and 44501 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44487 and 44501. First we will calculate the prime factors of 44487 and 44501.
Prime Factorization of 44487
Prime factors of 44487 are 3, 4943. Prime factorization of 44487 in exponential form is:
44487 = 32 × 49431
Prime Factorization of 44501
Prime factors of 44501 are 44501. Prime factorization of 44501 in exponential form is:
44501 = 445011
Now multiplying the highest exponent prime factors to calculate the LCM of 44487 and 44501.
LCM(44487,44501) = 32 × 49431 × 445011
LCM(44487,44501) = 1979715987
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