What is the Least Common Multiple of 32813 and 32827?
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 32813 and 32827 is 1077152351.
LCM(32813,32827) = 1077152351
Least Common Multiple of 32813 and 32827 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32813 and 32827, than apply into the LCM equation.
GCF(32813,32827) = 1
LCM(32813,32827) = ( 32813 × 32827) / 1
LCM(32813,32827) = 1077152351 / 1
LCM(32813,32827) = 1077152351
Least Common Multiple (LCM) of 32813 and 32827 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32813 and 32827. First we will calculate the prime factors of 32813 and 32827.
Prime Factorization of 32813
Prime factors of 32813 are 11, 19, 157. Prime factorization of 32813 in exponential form is:
32813 = 111 × 191 × 1571
Prime Factorization of 32827
Prime factors of 32827 are 17, 1931. Prime factorization of 32827 in exponential form is:
32827 = 171 × 19311
Now multiplying the highest exponent prime factors to calculate the LCM of 32813 and 32827.
LCM(32813,32827) = 111 × 191 × 1571 × 171 × 19311
LCM(32813,32827) = 1077152351
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