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What is the Least Common Multiple of 30232 and 30242?

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 30232 and 30242 is 457138072.

LCM(30232,30242) = 457138072

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Least Common Multiple of 30232 and 30242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30232 and 30242, than apply into the LCM equation.

GCF(30232,30242) = 2
LCM(30232,30242) = ( 30232 × 30242) / 2
LCM(30232,30242) = 914276144 / 2
LCM(30232,30242) = 457138072

Least Common Multiple (LCM) of 30232 and 30242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30232 and 30242. First we will calculate the prime factors of 30232 and 30242.

Prime Factorization of 30232

Prime factors of 30232 are 2, 3779. Prime factorization of 30232 in exponential form is:

30232 = 23 × 37791

Prime Factorization of 30242

Prime factors of 30242 are 2, 15121. Prime factorization of 30242 in exponential form is:

30242 = 21 × 151211

Now multiplying the highest exponent prime factors to calculate the LCM of 30232 and 30242.

LCM(30232,30242) = 23 × 37791 × 151211
LCM(30232,30242) = 457138072