What is the Least Common Multiple of 44058 and 44062?
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 44062 is 970641798.
LCM(44058,44062) = 970641798
Least Common Multiple of 44058 and 44062 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 44062, than apply into the LCM equation.
GCF(44058,44062) = 2
LCM(44058,44062) = ( 44058 × 44062) / 2
LCM(44058,44062) = 1941283596 / 2
LCM(44058,44062) = 970641798
Least Common Multiple (LCM) of 44058 and 44062 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44058 and 44062. First we will calculate the prime factors of 44058 and 44062.
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 44062
Prime factors of 44062 are 2, 22031. Prime factorization of 44062 in exponential form is:
44062 = 21 × 220311
Now multiplying the highest exponent prime factors to calculate the LCM of 44058 and 44062.
LCM(44058,44062) = 21 × 31 × 71 × 10491 × 220311
LCM(44058,44062) = 970641798
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