What is the Least Common Multiple of 30321 and 30327?
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 30321 and 30327 is 306514989.
LCM(30321,30327) = 306514989
Least Common Multiple of 30321 and 30327 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30321 and 30327, than apply into the LCM equation.
GCF(30321,30327) = 3
LCM(30321,30327) = ( 30321 × 30327) / 3
LCM(30321,30327) = 919544967 / 3
LCM(30321,30327) = 306514989
Least Common Multiple (LCM) of 30321 and 30327 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30321 and 30327. First we will calculate the prime factors of 30321 and 30327.
Prime Factorization of 30321
Prime factors of 30321 are 3, 1123. Prime factorization of 30321 in exponential form is:
30321 = 33 × 11231
Prime Factorization of 30327
Prime factors of 30327 are 3, 11, 919. Prime factorization of 30327 in exponential form is:
30327 = 31 × 111 × 9191
Now multiplying the highest exponent prime factors to calculate the LCM of 30321 and 30327.
LCM(30321,30327) = 33 × 11231 × 111 × 9191
LCM(30321,30327) = 306514989
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