What is the Least Common Multiple of 44482 and 44486?
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 44486 is 989413126.
LCM(44482,44486) = 989413126
Least Common Multiple of 44482 and 44486 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 44486, than apply into the LCM equation.
GCF(44482,44486) = 2
LCM(44482,44486) = ( 44482 × 44486) / 2
LCM(44482,44486) = 1978826252 / 2
LCM(44482,44486) = 989413126
Least Common Multiple (LCM) of 44482 and 44486 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44482 and 44486. First we will calculate the prime factors of 44482 and 44486.
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 44486
Prime factors of 44486 are 2, 13, 29, 59. Prime factorization of 44486 in exponential form is:
44486 = 21 × 131 × 291 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 44482 and 44486.
LCM(44482,44486) = 21 × 231 × 9671 × 131 × 291 × 591
LCM(44482,44486) = 989413126
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