What is the Least Common Multiple of 44482 and 44490?
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 44482 and 44490 is 989502090.
LCM(44482,44490) = 989502090
Least Common Multiple of 44482 and 44490 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44482 and 44490, than apply into the LCM equation.
GCF(44482,44490) = 2
LCM(44482,44490) = ( 44482 × 44490) / 2
LCM(44482,44490) = 1979004180 / 2
LCM(44482,44490) = 989502090
Least Common Multiple (LCM) of 44482 and 44490 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44482 and 44490. First we will calculate the prime factors of 44482 and 44490.
Prime Factorization of 44482
Prime factors of 44482 are 2, 23, 967. Prime factorization of 44482 in exponential form is:
44482 = 21 × 231 × 9671
Prime Factorization of 44490
Prime factors of 44490 are 2, 3, 5, 1483. Prime factorization of 44490 in exponential form is:
44490 = 21 × 31 × 51 × 14831
Now multiplying the highest exponent prime factors to calculate the LCM of 44482 and 44490.
LCM(44482,44490) = 21 × 231 × 9671 × 31 × 51 × 14831
LCM(44482,44490) = 989502090
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