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What is the Least Common Multiple of 30707 and 30715?

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 30707 and 30715 is 943165505.

LCM(30707,30715) = 943165505

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Least Common Multiple of 30707 and 30715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30707 and 30715, than apply into the LCM equation.

GCF(30707,30715) = 1
LCM(30707,30715) = ( 30707 × 30715) / 1
LCM(30707,30715) = 943165505 / 1
LCM(30707,30715) = 943165505

Least Common Multiple (LCM) of 30707 and 30715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30707 and 30715. First we will calculate the prime factors of 30707 and 30715.

Prime Factorization of 30707

Prime factors of 30707 are 30707. Prime factorization of 30707 in exponential form is:

30707 = 307071

Prime Factorization of 30715

Prime factors of 30715 are 5, 6143. Prime factorization of 30715 in exponential form is:

30715 = 51 × 61431

Now multiplying the highest exponent prime factors to calculate the LCM of 30707 and 30715.

LCM(30707,30715) = 307071 × 51 × 61431
LCM(30707,30715) = 943165505