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What is the Least Common Multiple of 30409 and 30415?

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 30409 and 30415 is 924889735.

LCM(30409,30415) = 924889735

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Least Common Multiple of 30409 and 30415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30409 and 30415, than apply into the LCM equation.

GCF(30409,30415) = 1
LCM(30409,30415) = ( 30409 × 30415) / 1
LCM(30409,30415) = 924889735 / 1
LCM(30409,30415) = 924889735

Least Common Multiple (LCM) of 30409 and 30415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30409 and 30415. First we will calculate the prime factors of 30409 and 30415.

Prime Factorization of 30409

Prime factors of 30409 are 47, 647. Prime factorization of 30409 in exponential form is:

30409 = 471 × 6471

Prime Factorization of 30415

Prime factors of 30415 are 5, 7, 11, 79. Prime factorization of 30415 in exponential form is:

30415 = 51 × 71 × 111 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 30409 and 30415.

LCM(30409,30415) = 471 × 6471 × 51 × 71 × 111 × 791
LCM(30409,30415) = 924889735