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What is the Least Common Multiple of 29653 and 29672?

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 29653 and 29672 is 879863816.

LCM(29653,29672) = 879863816

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Least Common Multiple of 29653 and 29672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29653 and 29672, than apply into the LCM equation.

GCF(29653,29672) = 1
LCM(29653,29672) = ( 29653 × 29672) / 1
LCM(29653,29672) = 879863816 / 1
LCM(29653,29672) = 879863816

Least Common Multiple (LCM) of 29653 and 29672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29653 and 29672. First we will calculate the prime factors of 29653 and 29672.

Prime Factorization of 29653

Prime factors of 29653 are 13, 2281. Prime factorization of 29653 in exponential form is:

29653 = 131 × 22811

Prime Factorization of 29672

Prime factors of 29672 are 2, 3709. Prime factorization of 29672 in exponential form is:

29672 = 23 × 37091

Now multiplying the highest exponent prime factors to calculate the LCM of 29653 and 29672.

LCM(29653,29672) = 131 × 22811 × 23 × 37091
LCM(29653,29672) = 879863816