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What is the Least Common Multiple of 29606 and 29612?

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 29606 and 29612 is 438346436.

LCM(29606,29612) = 438346436

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Least Common Multiple of 29606 and 29612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29606 and 29612, than apply into the LCM equation.

GCF(29606,29612) = 2
LCM(29606,29612) = ( 29606 × 29612) / 2
LCM(29606,29612) = 876692872 / 2
LCM(29606,29612) = 438346436

Least Common Multiple (LCM) of 29606 and 29612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29606 and 29612. First we will calculate the prime factors of 29606 and 29612.

Prime Factorization of 29606

Prime factors of 29606 are 2, 113, 131. Prime factorization of 29606 in exponential form is:

29606 = 21 × 1131 × 1311

Prime Factorization of 29612

Prime factors of 29612 are 2, 11, 673. Prime factorization of 29612 in exponential form is:

29612 = 22 × 111 × 6731

Now multiplying the highest exponent prime factors to calculate the LCM of 29606 and 29612.

LCM(29606,29612) = 22 × 1131 × 1311 × 111 × 6731
LCM(29606,29612) = 438346436