What is the Least Common Multiple of 44276 and 44294?
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 44276 and 44294 is 980580572.
LCM(44276,44294) = 980580572
Least Common Multiple of 44276 and 44294 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44276 and 44294, than apply into the LCM equation.
GCF(44276,44294) = 2
LCM(44276,44294) = ( 44276 × 44294) / 2
LCM(44276,44294) = 1961161144 / 2
LCM(44276,44294) = 980580572
Least Common Multiple (LCM) of 44276 and 44294 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44276 and 44294. First we will calculate the prime factors of 44276 and 44294.
Prime Factorization of 44276
Prime factors of 44276 are 2, 11069. Prime factorization of 44276 in exponential form is:
44276 = 22 × 110691
Prime Factorization of 44294
Prime factors of 44294 are 2, 22147. Prime factorization of 44294 in exponential form is:
44294 = 21 × 221471
Now multiplying the highest exponent prime factors to calculate the LCM of 44276 and 44294.
LCM(44276,44294) = 22 × 110691 × 221471
LCM(44276,44294) = 980580572
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