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What is the Least Common Multiple of 30046 and 30052?

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 30046 and 30052 is 451471196.

LCM(30046,30052) = 451471196

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Least Common Multiple of 30046 and 30052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30046 and 30052, than apply into the LCM equation.

GCF(30046,30052) = 2
LCM(30046,30052) = ( 30046 × 30052) / 2
LCM(30046,30052) = 902942392 / 2
LCM(30046,30052) = 451471196

Least Common Multiple (LCM) of 30046 and 30052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30046 and 30052. First we will calculate the prime factors of 30046 and 30052.

Prime Factorization of 30046

Prime factors of 30046 are 2, 83, 181. Prime factorization of 30046 in exponential form is:

30046 = 21 × 831 × 1811

Prime Factorization of 30052

Prime factors of 30052 are 2, 11, 683. Prime factorization of 30052 in exponential form is:

30052 = 22 × 111 × 6831

Now multiplying the highest exponent prime factors to calculate the LCM of 30046 and 30052.

LCM(30046,30052) = 22 × 831 × 1811 × 111 × 6831
LCM(30046,30052) = 451471196