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What is the Least Common Multiple of 30327 and 30342?

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 30327 and 30342 is 306727278.

LCM(30327,30342) = 306727278

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Least Common Multiple of 30327 and 30342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30327 and 30342, than apply into the LCM equation.

GCF(30327,30342) = 3
LCM(30327,30342) = ( 30327 × 30342) / 3
LCM(30327,30342) = 920181834 / 3
LCM(30327,30342) = 306727278

Least Common Multiple (LCM) of 30327 and 30342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30327 and 30342. First we will calculate the prime factors of 30327 and 30342.

Prime Factorization of 30327

Prime factors of 30327 are 3, 11, 919. Prime factorization of 30327 in exponential form is:

30327 = 31 × 111 × 9191

Prime Factorization of 30342

Prime factors of 30342 are 2, 3, 13, 389. Prime factorization of 30342 in exponential form is:

30342 = 21 × 31 × 131 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 30327 and 30342.

LCM(30327,30342) = 31 × 111 × 9191 × 21 × 131 × 3891
LCM(30327,30342) = 306727278