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What is the Least Common Multiple of 39728 and 39747?

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 39728 and 39747 is 1579068816.

LCM(39728,39747) = 1579068816

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Least Common Multiple of 39728 and 39747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39728 and 39747, than apply into the LCM equation.

GCF(39728,39747) = 1
LCM(39728,39747) = ( 39728 × 39747) / 1
LCM(39728,39747) = 1579068816 / 1
LCM(39728,39747) = 1579068816

Least Common Multiple (LCM) of 39728 and 39747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39728 and 39747. First we will calculate the prime factors of 39728 and 39747.

Prime Factorization of 39728

Prime factors of 39728 are 2, 13, 191. Prime factorization of 39728 in exponential form is:

39728 = 24 × 131 × 1911

Prime Factorization of 39747

Prime factors of 39747 are 3, 13249. Prime factorization of 39747 in exponential form is:

39747 = 31 × 132491

Now multiplying the highest exponent prime factors to calculate the LCM of 39728 and 39747.

LCM(39728,39747) = 24 × 131 × 1911 × 31 × 132491
LCM(39728,39747) = 1579068816