What is the Least Common Multiple of 44682 and 44687?
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 44682 and 44687 is 1996704534.
LCM(44682,44687) = 1996704534
Least Common Multiple of 44682 and 44687 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44682 and 44687, than apply into the LCM equation.
GCF(44682,44687) = 1
LCM(44682,44687) = ( 44682 × 44687) / 1
LCM(44682,44687) = 1996704534 / 1
LCM(44682,44687) = 1996704534
Least Common Multiple (LCM) of 44682 and 44687 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44682 and 44687. First we will calculate the prime factors of 44682 and 44687.
Prime Factorization of 44682
Prime factors of 44682 are 2, 3, 11, 677. Prime factorization of 44682 in exponential form is:
44682 = 21 × 31 × 111 × 6771
Prime Factorization of 44687
Prime factors of 44687 are 44687. Prime factorization of 44687 in exponential form is:
44687 = 446871
Now multiplying the highest exponent prime factors to calculate the LCM of 44682 and 44687.
LCM(44682,44687) = 21 × 31 × 111 × 6771 × 446871
LCM(44682,44687) = 1996704534
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