What is the Least Common Multiple of 13624 and 13631?
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 13624 and 13631 is 185708744.
LCM(13624,13631) = 185708744
Least Common Multiple of 13624 and 13631 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13624 and 13631, than apply into the LCM equation.
GCF(13624,13631) = 1
LCM(13624,13631) = ( 13624 × 13631) / 1
LCM(13624,13631) = 185708744 / 1
LCM(13624,13631) = 185708744
Least Common Multiple (LCM) of 13624 and 13631 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13624 and 13631. First we will calculate the prime factors of 13624 and 13631.
Prime Factorization of 13624
Prime factors of 13624 are 2, 13, 131. Prime factorization of 13624 in exponential form is:
13624 = 23 × 131 × 1311
Prime Factorization of 13631
Prime factors of 13631 are 43, 317. Prime factorization of 13631 in exponential form is:
13631 = 431 × 3171
Now multiplying the highest exponent prime factors to calculate the LCM of 13624 and 13631.
LCM(13624,13631) = 23 × 131 × 1311 × 431 × 3171
LCM(13624,13631) = 185708744
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