What is the Least Common Multiple of 32790 and 32795?
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 32790 and 32795 is 215069610.
LCM(32790,32795) = 215069610
Least Common Multiple of 32790 and 32795 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32790 and 32795, than apply into the LCM equation.
GCF(32790,32795) = 5
LCM(32790,32795) = ( 32790 × 32795) / 5
LCM(32790,32795) = 1075348050 / 5
LCM(32790,32795) = 215069610
Least Common Multiple (LCM) of 32790 and 32795 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32790 and 32795. First we will calculate the prime factors of 32790 and 32795.
Prime Factorization of 32790
Prime factors of 32790 are 2, 3, 5, 1093. Prime factorization of 32790 in exponential form is:
32790 = 21 × 31 × 51 × 10931
Prime Factorization of 32795
Prime factors of 32795 are 5, 7, 937. Prime factorization of 32795 in exponential form is:
32795 = 51 × 71 × 9371
Now multiplying the highest exponent prime factors to calculate the LCM of 32790 and 32795.
LCM(32790,32795) = 21 × 31 × 51 × 10931 × 71 × 9371
LCM(32790,32795) = 215069610
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