What is the Least Common Multiple of 44234 and 44245?
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 44234 and 44245 is 1957133330.
LCM(44234,44245) = 1957133330
Least Common Multiple of 44234 and 44245 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44234 and 44245, than apply into the LCM equation.
GCF(44234,44245) = 1
LCM(44234,44245) = ( 44234 × 44245) / 1
LCM(44234,44245) = 1957133330 / 1
LCM(44234,44245) = 1957133330
Least Common Multiple (LCM) of 44234 and 44245 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44234 and 44245. First we will calculate the prime factors of 44234 and 44245.
Prime Factorization of 44234
Prime factors of 44234 are 2, 17, 1301. Prime factorization of 44234 in exponential form is:
44234 = 21 × 171 × 13011
Prime Factorization of 44245
Prime factors of 44245 are 5, 8849. Prime factorization of 44245 in exponential form is:
44245 = 51 × 88491
Now multiplying the highest exponent prime factors to calculate the LCM of 44234 and 44245.
LCM(44234,44245) = 21 × 171 × 13011 × 51 × 88491
LCM(44234,44245) = 1957133330
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