What is the Least Common Multiple of 44058 and 44077?
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 44058 and 44077 is 1941944466.
LCM(44058,44077) = 1941944466
Least Common Multiple of 44058 and 44077 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44058 and 44077, than apply into the LCM equation.
GCF(44058,44077) = 1
LCM(44058,44077) = ( 44058 × 44077) / 1
LCM(44058,44077) = 1941944466 / 1
LCM(44058,44077) = 1941944466
Least Common Multiple (LCM) of 44058 and 44077 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44058 and 44077. First we will calculate the prime factors of 44058 and 44077.
Prime Factorization of 44058
Prime factors of 44058 are 2, 3, 7, 1049. Prime factorization of 44058 in exponential form is:
44058 = 21 × 31 × 71 × 10491
Prime Factorization of 44077
Prime factors of 44077 are 11, 4007. Prime factorization of 44077 in exponential form is:
44077 = 111 × 40071
Now multiplying the highest exponent prime factors to calculate the LCM of 44058 and 44077.
LCM(44058,44077) = 21 × 31 × 71 × 10491 × 111 × 40071
LCM(44058,44077) = 1941944466
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