What is the Least Common Multiple of 45117 and 45136?
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 45117 and 45136 is 2036400912.
LCM(45117,45136) = 2036400912
Least Common Multiple of 45117 and 45136 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45117 and 45136, than apply into the LCM equation.
GCF(45117,45136) = 1
LCM(45117,45136) = ( 45117 × 45136) / 1
LCM(45117,45136) = 2036400912 / 1
LCM(45117,45136) = 2036400912
Least Common Multiple (LCM) of 45117 and 45136 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 45117 and 45136. First we will calculate the prime factors of 45117 and 45136.
Prime Factorization of 45117
Prime factors of 45117 are 3, 557. Prime factorization of 45117 in exponential form is:
45117 = 34 × 5571
Prime Factorization of 45136
Prime factors of 45136 are 2, 7, 13, 31. Prime factorization of 45136 in exponential form is:
45136 = 24 × 71 × 131 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 45117 and 45136.
LCM(45117,45136) = 34 × 5571 × 24 × 71 × 131 × 311
LCM(45117,45136) = 2036400912
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