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What is the Least Common Multiple of 29715 and 29732?

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 29715 and 29732 is 883486380.

LCM(29715,29732) = 883486380

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Least Common Multiple of 29715 and 29732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29715 and 29732, than apply into the LCM equation.

GCF(29715,29732) = 1
LCM(29715,29732) = ( 29715 × 29732) / 1
LCM(29715,29732) = 883486380 / 1
LCM(29715,29732) = 883486380

Least Common Multiple (LCM) of 29715 and 29732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29715 and 29732. First we will calculate the prime factors of 29715 and 29732.

Prime Factorization of 29715

Prime factors of 29715 are 3, 5, 7, 283. Prime factorization of 29715 in exponential form is:

29715 = 31 × 51 × 71 × 2831

Prime Factorization of 29732

Prime factors of 29732 are 2, 7433. Prime factorization of 29732 in exponential form is:

29732 = 22 × 74331

Now multiplying the highest exponent prime factors to calculate the LCM of 29715 and 29732.

LCM(29715,29732) = 31 × 51 × 71 × 2831 × 22 × 74331
LCM(29715,29732) = 883486380