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What is the Least Common Multiple of 30402 and 30422?

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 30402 and 30422 is 462444822.

LCM(30402,30422) = 462444822

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Least Common Multiple of 30402 and 30422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30402 and 30422, than apply into the LCM equation.

GCF(30402,30422) = 2
LCM(30402,30422) = ( 30402 × 30422) / 2
LCM(30402,30422) = 924889644 / 2
LCM(30402,30422) = 462444822

Least Common Multiple (LCM) of 30402 and 30422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30402 and 30422. First we will calculate the prime factors of 30402 and 30422.

Prime Factorization of 30402

Prime factors of 30402 are 2, 3, 563. Prime factorization of 30402 in exponential form is:

30402 = 21 × 33 × 5631

Prime Factorization of 30422

Prime factors of 30422 are 2, 7, 41, 53. Prime factorization of 30422 in exponential form is:

30422 = 21 × 71 × 411 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 30402 and 30422.

LCM(30402,30422) = 21 × 33 × 5631 × 71 × 411 × 531
LCM(30402,30422) = 462444822