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What is the Least Common Multiple of 30943 and 30948?

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 30943 and 30948 is 957623964.

LCM(30943,30948) = 957623964

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Least Common Multiple of 30943 and 30948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30943 and 30948, than apply into the LCM equation.

GCF(30943,30948) = 1
LCM(30943,30948) = ( 30943 × 30948) / 1
LCM(30943,30948) = 957623964 / 1
LCM(30943,30948) = 957623964

Least Common Multiple (LCM) of 30943 and 30948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30943 and 30948. First we will calculate the prime factors of 30943 and 30948.

Prime Factorization of 30943

Prime factors of 30943 are 11, 29, 97. Prime factorization of 30943 in exponential form is:

30943 = 111 × 291 × 971

Prime Factorization of 30948

Prime factors of 30948 are 2, 3, 2579. Prime factorization of 30948 in exponential form is:

30948 = 22 × 31 × 25791

Now multiplying the highest exponent prime factors to calculate the LCM of 30943 and 30948.

LCM(30943,30948) = 111 × 291 × 971 × 22 × 31 × 25791
LCM(30943,30948) = 957623964