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What is the Least Common Multiple of 14790 and 14808?

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 14808 is 36501720.

LCM(14790,14808) = 36501720

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Least Common Multiple of 14790 and 14808 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 14808, than apply into the LCM equation.

GCF(14790,14808) = 6
LCM(14790,14808) = ( 14790 × 14808) / 6
LCM(14790,14808) = 219010320 / 6
LCM(14790,14808) = 36501720

Least Common Multiple (LCM) of 14790 and 14808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14790 and 14808. First we will calculate the prime factors of 14790 and 14808.

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 14808

Prime factors of 14808 are 2, 3, 617. Prime factorization of 14808 in exponential form is:

14808 = 23 × 31 × 6171

Now multiplying the highest exponent prime factors to calculate the LCM of 14790 and 14808.

LCM(14790,14808) = 23 × 31 × 51 × 171 × 291 × 6171
LCM(14790,14808) = 36501720