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What is the Least Common Multiple of 30947 and 30961?

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 30947 and 30961 is 136878581.

LCM(30947,30961) = 136878581

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Least Common Multiple of 30947 and 30961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30947 and 30961, than apply into the LCM equation.

GCF(30947,30961) = 7
LCM(30947,30961) = ( 30947 × 30961) / 7
LCM(30947,30961) = 958150067 / 7
LCM(30947,30961) = 136878581

Least Common Multiple (LCM) of 30947 and 30961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30947 and 30961. First we will calculate the prime factors of 30947 and 30961.

Prime Factorization of 30947

Prime factors of 30947 are 7, 4421. Prime factorization of 30947 in exponential form is:

30947 = 71 × 44211

Prime Factorization of 30961

Prime factors of 30961 are 7, 4423. Prime factorization of 30961 in exponential form is:

30961 = 71 × 44231

Now multiplying the highest exponent prime factors to calculate the LCM of 30947 and 30961.

LCM(30947,30961) = 71 × 44211 × 44231
LCM(30947,30961) = 136878581