What is the Least Common Multiple of 44373 and 44386?
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 44373 and 44386 is 1969539978.
LCM(44373,44386) = 1969539978
Least Common Multiple of 44373 and 44386 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44373 and 44386, than apply into the LCM equation.
GCF(44373,44386) = 1
LCM(44373,44386) = ( 44373 × 44386) / 1
LCM(44373,44386) = 1969539978 / 1
LCM(44373,44386) = 1969539978
Least Common Multiple (LCM) of 44373 and 44386 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44373 and 44386. First we will calculate the prime factors of 44373 and 44386.
Prime Factorization of 44373
Prime factors of 44373 are 3, 7, 2113. Prime factorization of 44373 in exponential form is:
44373 = 31 × 71 × 21131
Prime Factorization of 44386
Prime factors of 44386 are 2, 22193. Prime factorization of 44386 in exponential form is:
44386 = 21 × 221931
Now multiplying the highest exponent prime factors to calculate the LCM of 44373 and 44386.
LCM(44373,44386) = 31 × 71 × 21131 × 21 × 221931
LCM(44373,44386) = 1969539978
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