What is the Least Common Multiple of 45649 and 45665?
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 45649 and 45665 is 2084561585.
LCM(45649,45665) = 2084561585
Least Common Multiple of 45649 and 45665 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45649 and 45665, than apply into the LCM equation.
GCF(45649,45665) = 1
LCM(45649,45665) = ( 45649 × 45665) / 1
LCM(45649,45665) = 2084561585 / 1
LCM(45649,45665) = 2084561585
Least Common Multiple (LCM) of 45649 and 45665 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 45649 and 45665. First we will calculate the prime factors of 45649 and 45665.
Prime Factorization of 45649
Prime factors of 45649 are 191, 239. Prime factorization of 45649 in exponential form is:
45649 = 1911 × 2391
Prime Factorization of 45665
Prime factors of 45665 are 5, 9133. Prime factorization of 45665 in exponential form is:
45665 = 51 × 91331
Now multiplying the highest exponent prime factors to calculate the LCM of 45649 and 45665.
LCM(45649,45665) = 1911 × 2391 × 51 × 91331
LCM(45649,45665) = 2084561585
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