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What is the Least Common Multiple of 29706 and 29725?

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 29706 and 29725 is 883010850.

LCM(29706,29725) = 883010850

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Least Common Multiple of 29706 and 29725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29706 and 29725, than apply into the LCM equation.

GCF(29706,29725) = 1
LCM(29706,29725) = ( 29706 × 29725) / 1
LCM(29706,29725) = 883010850 / 1
LCM(29706,29725) = 883010850

Least Common Multiple (LCM) of 29706 and 29725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29706 and 29725. First we will calculate the prime factors of 29706 and 29725.

Prime Factorization of 29706

Prime factors of 29706 are 2, 3, 4951. Prime factorization of 29706 in exponential form is:

29706 = 21 × 31 × 49511

Prime Factorization of 29725

Prime factors of 29725 are 5, 29, 41. Prime factorization of 29725 in exponential form is:

29725 = 52 × 291 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 29706 and 29725.

LCM(29706,29725) = 21 × 31 × 49511 × 52 × 291 × 411
LCM(29706,29725) = 883010850