What is the Least Common Multiple of 32321 and 32327?
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 32321 and 32327 is 1044840967.
LCM(32321,32327) = 1044840967
Least Common Multiple of 32321 and 32327 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32321 and 32327, than apply into the LCM equation.
GCF(32321,32327) = 1
LCM(32321,32327) = ( 32321 × 32327) / 1
LCM(32321,32327) = 1044840967 / 1
LCM(32321,32327) = 1044840967
Least Common Multiple (LCM) of 32321 and 32327 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32321 and 32327. First we will calculate the prime factors of 32321 and 32327.
Prime Factorization of 32321
Prime factors of 32321 are 32321. Prime factorization of 32321 in exponential form is:
32321 = 323211
Prime Factorization of 32327
Prime factors of 32327 are 32327. Prime factorization of 32327 in exponential form is:
32327 = 323271
Now multiplying the highest exponent prime factors to calculate the LCM of 32321 and 32327.
LCM(32321,32327) = 323211 × 323271
LCM(32321,32327) = 1044840967
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