What is the Least Common Multiple of 45205 and 45213?
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 45205 and 45213 is 2043853665.
LCM(45205,45213) = 2043853665
Least Common Multiple of 45205 and 45213 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45205 and 45213, than apply into the LCM equation.
GCF(45205,45213) = 1
LCM(45205,45213) = ( 45205 × 45213) / 1
LCM(45205,45213) = 2043853665 / 1
LCM(45205,45213) = 2043853665
Least Common Multiple (LCM) of 45205 and 45213 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 45205 and 45213. First we will calculate the prime factors of 45205 and 45213.
Prime Factorization of 45205
Prime factors of 45205 are 5, 9041. Prime factorization of 45205 in exponential form is:
45205 = 51 × 90411
Prime Factorization of 45213
Prime factors of 45213 are 3, 7, 2153. Prime factorization of 45213 in exponential form is:
45213 = 31 × 71 × 21531
Now multiplying the highest exponent prime factors to calculate the LCM of 45205 and 45213.
LCM(45205,45213) = 51 × 90411 × 31 × 71 × 21531
LCM(45205,45213) = 2043853665
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