What is the Least Common Multiple of 44077 and 44083?
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 44077 and 44083 is 1943046391.
LCM(44077,44083) = 1943046391
Least Common Multiple of 44077 and 44083 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44077 and 44083, than apply into the LCM equation.
GCF(44077,44083) = 1
LCM(44077,44083) = ( 44077 × 44083) / 1
LCM(44077,44083) = 1943046391 / 1
LCM(44077,44083) = 1943046391
Least Common Multiple (LCM) of 44077 and 44083 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44077 and 44083. First we will calculate the prime factors of 44077 and 44083.
Prime Factorization of 44077
Prime factors of 44077 are 11, 4007. Prime factorization of 44077 in exponential form is:
44077 = 111 × 40071
Prime Factorization of 44083
Prime factors of 44083 are 13, 3391. Prime factorization of 44083 in exponential form is:
44083 = 131 × 33911
Now multiplying the highest exponent prime factors to calculate the LCM of 44077 and 44083.
LCM(44077,44083) = 111 × 40071 × 131 × 33911
LCM(44077,44083) = 1943046391
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