What is the Least Common Multiple of 24622 and 24631?
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 24622 and 24631 is 606464482.
LCM(24622,24631) = 606464482
Least Common Multiple of 24622 and 24631 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24622 and 24631, than apply into the LCM equation.
GCF(24622,24631) = 1
LCM(24622,24631) = ( 24622 × 24631) / 1
LCM(24622,24631) = 606464482 / 1
LCM(24622,24631) = 606464482
Least Common Multiple (LCM) of 24622 and 24631 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24622 and 24631. First we will calculate the prime factors of 24622 and 24631.
Prime Factorization of 24622
Prime factors of 24622 are 2, 13, 947. Prime factorization of 24622 in exponential form is:
24622 = 21 × 131 × 9471
Prime Factorization of 24631
Prime factors of 24631 are 24631. Prime factorization of 24631 in exponential form is:
24631 = 246311
Now multiplying the highest exponent prime factors to calculate the LCM of 24622 and 24631.
LCM(24622,24631) = 21 × 131 × 9471 × 246311
LCM(24622,24631) = 606464482
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