What is the Least Common Multiple of 42627 and 42637?
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 42627 and 42637 is 1817487399.
LCM(42627,42637) = 1817487399
Least Common Multiple of 42627 and 42637 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42627 and 42637, than apply into the LCM equation.
GCF(42627,42637) = 1
LCM(42627,42637) = ( 42627 × 42637) / 1
LCM(42627,42637) = 1817487399 / 1
LCM(42627,42637) = 1817487399
Least Common Multiple (LCM) of 42627 and 42637 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42627 and 42637. First we will calculate the prime factors of 42627 and 42637.
Prime Factorization of 42627
Prime factors of 42627 are 3, 13, 1093. Prime factorization of 42627 in exponential form is:
42627 = 31 × 131 × 10931
Prime Factorization of 42637
Prime factors of 42637 are 7, 6091. Prime factorization of 42637 in exponential form is:
42637 = 71 × 60911
Now multiplying the highest exponent prime factors to calculate the LCM of 42627 and 42637.
LCM(42627,42637) = 31 × 131 × 10931 × 71 × 60911
LCM(42627,42637) = 1817487399
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