What is the Least Common Multiple of 44305 and 44309?
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 44305 and 44309 is 1963110245.
LCM(44305,44309) = 1963110245
Least Common Multiple of 44305 and 44309 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44305 and 44309, than apply into the LCM equation.
GCF(44305,44309) = 1
LCM(44305,44309) = ( 44305 × 44309) / 1
LCM(44305,44309) = 1963110245 / 1
LCM(44305,44309) = 1963110245
Least Common Multiple (LCM) of 44305 and 44309 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44305 and 44309. First we will calculate the prime factors of 44305 and 44309.
Prime Factorization of 44305
Prime factors of 44305 are 5, 8861. Prime factorization of 44305 in exponential form is:
44305 = 51 × 88611
Prime Factorization of 44309
Prime factors of 44309 are 59, 751. Prime factorization of 44309 in exponential form is:
44309 = 591 × 7511
Now multiplying the highest exponent prime factors to calculate the LCM of 44305 and 44309.
LCM(44305,44309) = 51 × 88611 × 591 × 7511
LCM(44305,44309) = 1963110245
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