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What is the Least Common Multiple of 30930 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 30930 and 30940 is 95697420.

LCM(30930,30940) = 95697420

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Least Common Multiple of 30930 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 30930 and 30940, than apply into the LCM equation.

GCF(30930,30940) = 10
LCM(30930,30940) = ( 30930 × 30940) / 10
LCM(30930,30940) = 956974200 / 10
LCM(30930,30940) = 95697420

Least Common Multiple (LCM) of 30930 and 30940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30930 and 30940. First we will calculate the prime factors of 30930 and 30940.

Prime Factorization of 30930

Prime factors of 30930 are 2, 3, 5, 1031. Prime factorization of 30930 in exponential form is:

30930 = 21 × 31 × 51 × 10311

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 30930 and 30940.

LCM(30930,30940) = 22 × 31 × 51 × 10311 × 71 × 131 × 171
LCM(30930,30940) = 95697420