What is the Least Common Multiple of 44306 and 44314?
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 44306 and 44314 is 981688042.
LCM(44306,44314) = 981688042
Least Common Multiple of 44306 and 44314 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44306 and 44314, than apply into the LCM equation.
GCF(44306,44314) = 2
LCM(44306,44314) = ( 44306 × 44314) / 2
LCM(44306,44314) = 1963376084 / 2
LCM(44306,44314) = 981688042
Least Common Multiple (LCM) of 44306 and 44314 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44306 and 44314. First we will calculate the prime factors of 44306 and 44314.
Prime Factorization of 44306
Prime factors of 44306 are 2, 22153. Prime factorization of 44306 in exponential form is:
44306 = 21 × 221531
Prime Factorization of 44314
Prime factors of 44314 are 2, 22157. Prime factorization of 44314 in exponential form is:
44314 = 21 × 221571
Now multiplying the highest exponent prime factors to calculate the LCM of 44306 and 44314.
LCM(44306,44314) = 21 × 221531 × 221571
LCM(44306,44314) = 981688042
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