What is the Least Common Multiple of 44462 and 44482?
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 44462 and 44482 is 988879342.
LCM(44462,44482) = 988879342
Least Common Multiple of 44462 and 44482 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44462 and 44482, than apply into the LCM equation.
GCF(44462,44482) = 2
LCM(44462,44482) = ( 44462 × 44482) / 2
LCM(44462,44482) = 1977758684 / 2
LCM(44462,44482) = 988879342
Least Common Multiple (LCM) of 44462 and 44482 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44462 and 44482. First we will calculate the prime factors of 44462 and 44482.
Prime Factorization of 44462
Prime factors of 44462 are 2, 11, 43, 47. Prime factorization of 44462 in exponential form is:
44462 = 21 × 111 × 431 × 471
Prime Factorization of 44482
Prime factors of 44482 are 2, 23, 967. Prime factorization of 44482 in exponential form is:
44482 = 21 × 231 × 9671
Now multiplying the highest exponent prime factors to calculate the LCM of 44462 and 44482.
LCM(44462,44482) = 21 × 111 × 431 × 471 × 231 × 9671
LCM(44462,44482) = 988879342
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