What is the Least Common Multiple of 44431 and 44443?
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 44431 and 44443 is 1974646933.
LCM(44431,44443) = 1974646933
Least Common Multiple of 44431 and 44443 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44431 and 44443, than apply into the LCM equation.
GCF(44431,44443) = 1
LCM(44431,44443) = ( 44431 × 44443) / 1
LCM(44431,44443) = 1974646933 / 1
LCM(44431,44443) = 1974646933
Least Common Multiple (LCM) of 44431 and 44443 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44431 and 44443. First we will calculate the prime factors of 44431 and 44443.
Prime Factorization of 44431
Prime factors of 44431 are 157, 283. Prime factorization of 44431 in exponential form is:
44431 = 1571 × 2831
Prime Factorization of 44443
Prime factors of 44443 are 7, 907. Prime factorization of 44443 in exponential form is:
44443 = 72 × 9071
Now multiplying the highest exponent prime factors to calculate the LCM of 44431 and 44443.
LCM(44431,44443) = 1571 × 2831 × 72 × 9071
LCM(44431,44443) = 1974646933
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