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What is the Least Common Multiple of 30927 and 30940?

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 30927 and 30940 is 73606260.

LCM(30927,30940) = 73606260

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Least Common Multiple of 30927 and 30940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30927 and 30940, than apply into the LCM equation.

GCF(30927,30940) = 13
LCM(30927,30940) = ( 30927 × 30940) / 13
LCM(30927,30940) = 956881380 / 13
LCM(30927,30940) = 73606260

Least Common Multiple (LCM) of 30927 and 30940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30927 and 30940. First we will calculate the prime factors of 30927 and 30940.

Prime Factorization of 30927

Prime factors of 30927 are 3, 13, 61. Prime factorization of 30927 in exponential form is:

30927 = 31 × 132 × 611

Prime Factorization of 30940

Prime factors of 30940 are 2, 5, 7, 13, 17. Prime factorization of 30940 in exponential form is:

30940 = 22 × 51 × 71 × 131 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 30927 and 30940.

LCM(30927,30940) = 31 × 132 × 611 × 22 × 51 × 71 × 171
LCM(30927,30940) = 73606260