What is the Least Common Multiple of 44205 and 44214?
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 44205 and 44214 is 651493290.
LCM(44205,44214) = 651493290
Least Common Multiple of 44205 and 44214 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44205 and 44214, than apply into the LCM equation.
GCF(44205,44214) = 3
LCM(44205,44214) = ( 44205 × 44214) / 3
LCM(44205,44214) = 1954479870 / 3
LCM(44205,44214) = 651493290
Least Common Multiple (LCM) of 44205 and 44214 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44205 and 44214. First we will calculate the prime factors of 44205 and 44214.
Prime Factorization of 44205
Prime factors of 44205 are 3, 5, 7, 421. Prime factorization of 44205 in exponential form is:
44205 = 31 × 51 × 71 × 4211
Prime Factorization of 44214
Prime factors of 44214 are 2, 3, 7369. Prime factorization of 44214 in exponential form is:
44214 = 21 × 31 × 73691
Now multiplying the highest exponent prime factors to calculate the LCM of 44205 and 44214.
LCM(44205,44214) = 31 × 51 × 71 × 4211 × 21 × 73691
LCM(44205,44214) = 651493290
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