What is the Least Common Multiple of 45662 and 45681?
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 45662 and 45681 is 2085885822.
LCM(45662,45681) = 2085885822
Least Common Multiple of 45662 and 45681 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45662 and 45681, than apply into the LCM equation.
GCF(45662,45681) = 1
LCM(45662,45681) = ( 45662 × 45681) / 1
LCM(45662,45681) = 2085885822 / 1
LCM(45662,45681) = 2085885822
Least Common Multiple (LCM) of 45662 and 45681 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 45662 and 45681. First we will calculate the prime factors of 45662 and 45681.
Prime Factorization of 45662
Prime factors of 45662 are 2, 17, 79. Prime factorization of 45662 in exponential form is:
45662 = 21 × 172 × 791
Prime Factorization of 45681
Prime factors of 45681 are 3, 15227. Prime factorization of 45681 in exponential form is:
45681 = 31 × 152271
Now multiplying the highest exponent prime factors to calculate the LCM of 45662 and 45681.
LCM(45662,45681) = 21 × 172 × 791 × 31 × 152271
LCM(45662,45681) = 2085885822
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