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What is the Least Common Multiple of 30392 and 30410?

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 30392 and 30410 is 462110360.

LCM(30392,30410) = 462110360

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Least Common Multiple of 30392 and 30410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30392 and 30410, than apply into the LCM equation.

GCF(30392,30410) = 2
LCM(30392,30410) = ( 30392 × 30410) / 2
LCM(30392,30410) = 924220720 / 2
LCM(30392,30410) = 462110360

Least Common Multiple (LCM) of 30392 and 30410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30392 and 30410. First we will calculate the prime factors of 30392 and 30410.

Prime Factorization of 30392

Prime factors of 30392 are 2, 29, 131. Prime factorization of 30392 in exponential form is:

30392 = 23 × 291 × 1311

Prime Factorization of 30410

Prime factors of 30410 are 2, 5, 3041. Prime factorization of 30410 in exponential form is:

30410 = 21 × 51 × 30411

Now multiplying the highest exponent prime factors to calculate the LCM of 30392 and 30410.

LCM(30392,30410) = 23 × 291 × 1311 × 51 × 30411
LCM(30392,30410) = 462110360