What is the Least Common Multiple of 44767 and 44780?
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 44767 and 44780 is 2004666260.
LCM(44767,44780) = 2004666260
Least Common Multiple of 44767 and 44780 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44767 and 44780, than apply into the LCM equation.
GCF(44767,44780) = 1
LCM(44767,44780) = ( 44767 × 44780) / 1
LCM(44767,44780) = 2004666260 / 1
LCM(44767,44780) = 2004666260
Least Common Multiple (LCM) of 44767 and 44780 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44767 and 44780. First we will calculate the prime factors of 44767 and 44780.
Prime Factorization of 44767
Prime factors of 44767 are 89, 503. Prime factorization of 44767 in exponential form is:
44767 = 891 × 5031
Prime Factorization of 44780
Prime factors of 44780 are 2, 5, 2239. Prime factorization of 44780 in exponential form is:
44780 = 22 × 51 × 22391
Now multiplying the highest exponent prime factors to calculate the LCM of 44767 and 44780.
LCM(44767,44780) = 891 × 5031 × 22 × 51 × 22391
LCM(44767,44780) = 2004666260
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