What is the Least Common Multiple of 65631 and 65641?
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 65631 and 65641 is 4308084471.
LCM(65631,65641) = 4308084471
Least Common Multiple of 65631 and 65641 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65631 and 65641, than apply into the LCM equation.
GCF(65631,65641) = 1
LCM(65631,65641) = ( 65631 × 65641) / 1
LCM(65631,65641) = 4308084471 / 1
LCM(65631,65641) = 4308084471
Least Common Multiple (LCM) of 65631 and 65641 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65631 and 65641. First we will calculate the prime factors of 65631 and 65641.
Prime Factorization of 65631
Prime factors of 65631 are 3, 131, 167. Prime factorization of 65631 in exponential form is:
65631 = 31 × 1311 × 1671
Prime Factorization of 65641
Prime factors of 65641 are 41, 1601. Prime factorization of 65641 in exponential form is:
65641 = 411 × 16011
Now multiplying the highest exponent prime factors to calculate the LCM of 65631 and 65641.
LCM(65631,65641) = 31 × 1311 × 1671 × 411 × 16011
LCM(65631,65641) = 4308084471
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