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What is the Least Common Multiple of 30940 and 30956?

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 30940 and 30956 is 239444660.

LCM(30940,30956) = 239444660

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Least Common Multiple of 30940 and 30956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30940 and 30956, than apply into the LCM equation.

GCF(30940,30956) = 4
LCM(30940,30956) = ( 30940 × 30956) / 4
LCM(30940,30956) = 957778640 / 4
LCM(30940,30956) = 239444660

Least Common Multiple (LCM) of 30940 and 30956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30940 and 30956. First we will calculate the prime factors of 30940 and 30956.

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

Prime Factorization of 30956

Prime factors of 30956 are 2, 71, 109. Prime factorization of 30956 in exponential form is:

30956 = 22 × 711 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 30940 and 30956.

LCM(30940,30956) = 22 × 51 × 71 × 131 × 171 × 711 × 1091
LCM(30940,30956) = 239444660