What is the Least Common Multiple of 44167 and 44185?
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 44167 and 44185 is 1951518895.
LCM(44167,44185) = 1951518895
Least Common Multiple of 44167 and 44185 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44167 and 44185, than apply into the LCM equation.
GCF(44167,44185) = 1
LCM(44167,44185) = ( 44167 × 44185) / 1
LCM(44167,44185) = 1951518895 / 1
LCM(44167,44185) = 1951518895
Least Common Multiple (LCM) of 44167 and 44185 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44167 and 44185. First we will calculate the prime factors of 44167 and 44185.
Prime Factorization of 44167
Prime factors of 44167 are 29, 1523. Prime factorization of 44167 in exponential form is:
44167 = 291 × 15231
Prime Factorization of 44185
Prime factors of 44185 are 5, 8837. Prime factorization of 44185 in exponential form is:
44185 = 51 × 88371
Now multiplying the highest exponent prime factors to calculate the LCM of 44167 and 44185.
LCM(44167,44185) = 291 × 15231 × 51 × 88371
LCM(44167,44185) = 1951518895
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