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What is the Least Common Multiple of 14790 and 14796?

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 14790 and 14796 is 36472140.

LCM(14790,14796) = 36472140

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Least Common Multiple of 14790 and 14796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14790 and 14796, than apply into the LCM equation.

GCF(14790,14796) = 6
LCM(14790,14796) = ( 14790 × 14796) / 6
LCM(14790,14796) = 218832840 / 6
LCM(14790,14796) = 36472140

Least Common Multiple (LCM) of 14790 and 14796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14790 and 14796. First we will calculate the prime factors of 14790 and 14796.

Prime Factorization of 14790

Prime factors of 14790 are 2, 3, 5, 17, 29. Prime factorization of 14790 in exponential form is:

14790 = 21 × 31 × 51 × 171 × 291

Prime Factorization of 14796

Prime factors of 14796 are 2, 3, 137. Prime factorization of 14796 in exponential form is:

14796 = 22 × 33 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 14790 and 14796.

LCM(14790,14796) = 22 × 33 × 51 × 171 × 291 × 1371
LCM(14790,14796) = 36472140