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What is the Least Common Multiple of 39721 and 39726?

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 39721 and 39726 is 1577956446.

LCM(39721,39726) = 1577956446

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Least Common Multiple of 39721 and 39726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39721 and 39726, than apply into the LCM equation.

GCF(39721,39726) = 1
LCM(39721,39726) = ( 39721 × 39726) / 1
LCM(39721,39726) = 1577956446 / 1
LCM(39721,39726) = 1577956446

Least Common Multiple (LCM) of 39721 and 39726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39721 and 39726. First we will calculate the prime factors of 39721 and 39726.

Prime Factorization of 39721

Prime factors of 39721 are 11, 23, 157. Prime factorization of 39721 in exponential form is:

39721 = 111 × 231 × 1571

Prime Factorization of 39726

Prime factors of 39726 are 2, 3, 2207. Prime factorization of 39726 in exponential form is:

39726 = 21 × 32 × 22071

Now multiplying the highest exponent prime factors to calculate the LCM of 39721 and 39726.

LCM(39721,39726) = 111 × 231 × 1571 × 21 × 32 × 22071
LCM(39721,39726) = 1577956446