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What is the Least Common Multiple of 38797 and 38802?

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 38797 and 38802 is 1505401194.

LCM(38797,38802) = 1505401194

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Least Common Multiple of 38797 and 38802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38797 and 38802, than apply into the LCM equation.

GCF(38797,38802) = 1
LCM(38797,38802) = ( 38797 × 38802) / 1
LCM(38797,38802) = 1505401194 / 1
LCM(38797,38802) = 1505401194

Least Common Multiple (LCM) of 38797 and 38802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38797 and 38802. First we will calculate the prime factors of 38797 and 38802.

Prime Factorization of 38797

Prime factors of 38797 are 11, 3527. Prime factorization of 38797 in exponential form is:

38797 = 111 × 35271

Prime Factorization of 38802

Prime factors of 38802 are 2, 3, 29, 223. Prime factorization of 38802 in exponential form is:

38802 = 21 × 31 × 291 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 38797 and 38802.

LCM(38797,38802) = 111 × 35271 × 21 × 31 × 291 × 2231
LCM(38797,38802) = 1505401194