What is the Least Common Multiple of 45664 and 45669?
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 45664 and 45669 is 2085429216.
LCM(45664,45669) = 2085429216
Least Common Multiple of 45664 and 45669 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45664 and 45669, than apply into the LCM equation.
GCF(45664,45669) = 1
LCM(45664,45669) = ( 45664 × 45669) / 1
LCM(45664,45669) = 2085429216 / 1
LCM(45664,45669) = 2085429216
Least Common Multiple (LCM) of 45664 and 45669 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 45664 and 45669. First we will calculate the prime factors of 45664 and 45669.
Prime Factorization of 45664
Prime factors of 45664 are 2, 1427. Prime factorization of 45664 in exponential form is:
45664 = 25 × 14271
Prime Factorization of 45669
Prime factors of 45669 are 3, 13, 1171. Prime factorization of 45669 in exponential form is:
45669 = 31 × 131 × 11711
Now multiplying the highest exponent prime factors to calculate the LCM of 45664 and 45669.
LCM(45664,45669) = 25 × 14271 × 31 × 131 × 11711
LCM(45664,45669) = 2085429216
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