What is the Least Common Multiple of 3619 and 3631?
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 3619 and 3631 is 13140589.
LCM(3619,3631) = 13140589
Least Common Multiple of 3619 and 3631 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3619 and 3631, than apply into the LCM equation.
GCF(3619,3631) = 1
LCM(3619,3631) = ( 3619 × 3631) / 1
LCM(3619,3631) = 13140589 / 1
LCM(3619,3631) = 13140589
Least Common Multiple (LCM) of 3619 and 3631 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 3619 and 3631. First we will calculate the prime factors of 3619 and 3631.
Prime Factorization of 3619
Prime factors of 3619 are 7, 11, 47. Prime factorization of 3619 in exponential form is:
3619 = 71 × 111 × 471
Prime Factorization of 3631
Prime factors of 3631 are 3631. Prime factorization of 3631 in exponential form is:
3631 = 36311
Now multiplying the highest exponent prime factors to calculate the LCM of 3619 and 3631.
LCM(3619,3631) = 71 × 111 × 471 × 36311
LCM(3619,3631) = 13140589
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