What is the Least Common Multiple of 22615 and 22631?
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 22615 and 22631 is 511800065.
LCM(22615,22631) = 511800065
Least Common Multiple of 22615 and 22631 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22615 and 22631, than apply into the LCM equation.
GCF(22615,22631) = 1
LCM(22615,22631) = ( 22615 × 22631) / 1
LCM(22615,22631) = 511800065 / 1
LCM(22615,22631) = 511800065
Least Common Multiple (LCM) of 22615 and 22631 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22615 and 22631. First we will calculate the prime factors of 22615 and 22631.
Prime Factorization of 22615
Prime factors of 22615 are 5, 4523. Prime factorization of 22615 in exponential form is:
22615 = 51 × 45231
Prime Factorization of 22631
Prime factors of 22631 are 7, 53, 61. Prime factorization of 22631 in exponential form is:
22631 = 71 × 531 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 22615 and 22631.
LCM(22615,22631) = 51 × 45231 × 71 × 531 × 611
LCM(22615,22631) = 511800065
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