What is the Least Common Multiple of 44629 and 44645?
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 44629 and 44645 is 1992461705.
LCM(44629,44645) = 1992461705
Least Common Multiple of 44629 and 44645 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44629 and 44645, than apply into the LCM equation.
GCF(44629,44645) = 1
LCM(44629,44645) = ( 44629 × 44645) / 1
LCM(44629,44645) = 1992461705 / 1
LCM(44629,44645) = 1992461705
Least Common Multiple (LCM) of 44629 and 44645 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44629 and 44645. First we will calculate the prime factors of 44629 and 44645.
Prime Factorization of 44629
Prime factors of 44629 are 13, 3433. Prime factorization of 44629 in exponential form is:
44629 = 131 × 34331
Prime Factorization of 44645
Prime factors of 44645 are 5, 8929. Prime factorization of 44645 in exponential form is:
44645 = 51 × 89291
Now multiplying the highest exponent prime factors to calculate the LCM of 44629 and 44645.
LCM(44629,44645) = 131 × 34331 × 51 × 89291
LCM(44629,44645) = 1992461705
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