What is the Least Common Multiple of 44301 and 44305?
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 44301 and 44305 is 1962755805.
LCM(44301,44305) = 1962755805
Least Common Multiple of 44301 and 44305 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44301 and 44305, than apply into the LCM equation.
GCF(44301,44305) = 1
LCM(44301,44305) = ( 44301 × 44305) / 1
LCM(44301,44305) = 1962755805 / 1
LCM(44301,44305) = 1962755805
Least Common Multiple (LCM) of 44301 and 44305 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44301 and 44305. First we will calculate the prime factors of 44301 and 44305.
Prime Factorization of 44301
Prime factors of 44301 are 3, 14767. Prime factorization of 44301 in exponential form is:
44301 = 31 × 147671
Prime Factorization of 44305
Prime factors of 44305 are 5, 8861. Prime factorization of 44305 in exponential form is:
44305 = 51 × 88611
Now multiplying the highest exponent prime factors to calculate the LCM of 44301 and 44305.
LCM(44301,44305) = 31 × 147671 × 51 × 88611
LCM(44301,44305) = 1962755805
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