What is the Least Common Multiple of 32407 and 32411?
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 32407 and 32411 is 1050343277.
LCM(32407,32411) = 1050343277
Least Common Multiple of 32407 and 32411 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32407 and 32411, than apply into the LCM equation.
GCF(32407,32411) = 1
LCM(32407,32411) = ( 32407 × 32411) / 1
LCM(32407,32411) = 1050343277 / 1
LCM(32407,32411) = 1050343277
Least Common Multiple (LCM) of 32407 and 32411 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32407 and 32411. First we will calculate the prime factors of 32407 and 32411.
Prime Factorization of 32407
Prime factors of 32407 are 23, 1409. Prime factorization of 32407 in exponential form is:
32407 = 231 × 14091
Prime Factorization of 32411
Prime factors of 32411 are 32411. Prime factorization of 32411 in exponential form is:
32411 = 324111
Now multiplying the highest exponent prime factors to calculate the LCM of 32407 and 32411.
LCM(32407,32411) = 231 × 14091 × 324111
LCM(32407,32411) = 1050343277
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