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What is the Least Common Multiple of 30442 and 30458?

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 30442 and 30458 is 463601218.

LCM(30442,30458) = 463601218

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Least Common Multiple of 30442 and 30458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30442 and 30458, than apply into the LCM equation.

GCF(30442,30458) = 2
LCM(30442,30458) = ( 30442 × 30458) / 2
LCM(30442,30458) = 927202436 / 2
LCM(30442,30458) = 463601218

Least Common Multiple (LCM) of 30442 and 30458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30442 and 30458. First we will calculate the prime factors of 30442 and 30458.

Prime Factorization of 30442

Prime factors of 30442 are 2, 31, 491. Prime factorization of 30442 in exponential form is:

30442 = 21 × 311 × 4911

Prime Factorization of 30458

Prime factors of 30458 are 2, 97, 157. Prime factorization of 30458 in exponential form is:

30458 = 21 × 971 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 30442 and 30458.

LCM(30442,30458) = 21 × 311 × 4911 × 971 × 1571
LCM(30442,30458) = 463601218