What is the Least Common Multiple of 44863 and 44882?
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 44863 and 44882 is 2013541166.
LCM(44863,44882) = 2013541166
Least Common Multiple of 44863 and 44882 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44863 and 44882, than apply into the LCM equation.
GCF(44863,44882) = 1
LCM(44863,44882) = ( 44863 × 44882) / 1
LCM(44863,44882) = 2013541166 / 1
LCM(44863,44882) = 2013541166
Least Common Multiple (LCM) of 44863 and 44882 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44863 and 44882. First we will calculate the prime factors of 44863 and 44882.
Prime Factorization of 44863
Prime factors of 44863 are 7, 13, 17, 29. Prime factorization of 44863 in exponential form is:
44863 = 71 × 131 × 171 × 291
Prime Factorization of 44882
Prime factors of 44882 are 2, 22441. Prime factorization of 44882 in exponential form is:
44882 = 21 × 224411
Now multiplying the highest exponent prime factors to calculate the LCM of 44863 and 44882.
LCM(44863,44882) = 71 × 131 × 171 × 291 × 21 × 224411
LCM(44863,44882) = 2013541166
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