What is the Least Common Multiple of 44883 and 44901?
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 44883 and 44901 is 223921287.
LCM(44883,44901) = 223921287
Least Common Multiple of 44883 and 44901 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44883 and 44901, than apply into the LCM equation.
GCF(44883,44901) = 9
LCM(44883,44901) = ( 44883 × 44901) / 9
LCM(44883,44901) = 2015291583 / 9
LCM(44883,44901) = 223921287
Least Common Multiple (LCM) of 44883 and 44901 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44883 and 44901. First we will calculate the prime factors of 44883 and 44901.
Prime Factorization of 44883
Prime factors of 44883 are 3, 4987. Prime factorization of 44883 in exponential form is:
44883 = 32 × 49871
Prime Factorization of 44901
Prime factors of 44901 are 3, 1663. Prime factorization of 44901 in exponential form is:
44901 = 33 × 16631
Now multiplying the highest exponent prime factors to calculate the LCM of 44883 and 44901.
LCM(44883,44901) = 33 × 49871 × 16631
LCM(44883,44901) = 223921287
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