What is the Least Common Multiple of 44489 and 44494?
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 44489 and 44494 is 1979493566.
LCM(44489,44494) = 1979493566
Least Common Multiple of 44489 and 44494 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44489 and 44494, than apply into the LCM equation.
GCF(44489,44494) = 1
LCM(44489,44494) = ( 44489 × 44494) / 1
LCM(44489,44494) = 1979493566 / 1
LCM(44489,44494) = 1979493566
Least Common Multiple (LCM) of 44489 and 44494 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44489 and 44494. First we will calculate the prime factors of 44489 and 44494.
Prime Factorization of 44489
Prime factors of 44489 are 17, 2617. Prime factorization of 44489 in exponential form is:
44489 = 171 × 26171
Prime Factorization of 44494
Prime factors of 44494 are 2, 22247. Prime factorization of 44494 in exponential form is:
44494 = 21 × 222471
Now multiplying the highest exponent prime factors to calculate the LCM of 44489 and 44494.
LCM(44489,44494) = 171 × 26171 × 21 × 222471
LCM(44489,44494) = 1979493566
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