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What is the Least Common Multiple of 30411 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 30411 and 30415 is 924950565.

LCM(30411,30415) = 924950565

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Least Common Multiple of 30411 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 30411 and 30415, than apply into the LCM equation.

GCF(30411,30415) = 1
LCM(30411,30415) = ( 30411 × 30415) / 1
LCM(30411,30415) = 924950565 / 1
LCM(30411,30415) = 924950565

Least Common Multiple (LCM) of 30411 and 30415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30411 and 30415. First we will calculate the prime factors of 30411 and 30415.

Prime Factorization of 30411

Prime factors of 30411 are 3, 31, 109. Prime factorization of 30411 in exponential form is:

30411 = 32 × 311 × 1091

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 30411 and 30415.

LCM(30411,30415) = 32 × 311 × 1091 × 51 × 71 × 111 × 791
LCM(30411,30415) = 924950565