What is the Least Common Multiple of 44678 and 44697?
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 44678 and 44697 is 1996972566.
LCM(44678,44697) = 1996972566
Least Common Multiple of 44678 and 44697 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44678 and 44697, than apply into the LCM equation.
GCF(44678,44697) = 1
LCM(44678,44697) = ( 44678 × 44697) / 1
LCM(44678,44697) = 1996972566 / 1
LCM(44678,44697) = 1996972566
Least Common Multiple (LCM) of 44678 and 44697 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44678 and 44697. First we will calculate the prime factors of 44678 and 44697.
Prime Factorization of 44678
Prime factors of 44678 are 2, 89, 251. Prime factorization of 44678 in exponential form is:
44678 = 21 × 891 × 2511
Prime Factorization of 44697
Prime factors of 44697 are 3, 47, 317. Prime factorization of 44697 in exponential form is:
44697 = 31 × 471 × 3171
Now multiplying the highest exponent prime factors to calculate the LCM of 44678 and 44697.
LCM(44678,44697) = 21 × 891 × 2511 × 31 × 471 × 3171
LCM(44678,44697) = 1996972566
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