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What is the Least Common Multiple of 29506 and 29514?

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 29506 and 29514 is 435420042.

LCM(29506,29514) = 435420042

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Least Common Multiple of 29506 and 29514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29506 and 29514, than apply into the LCM equation.

GCF(29506,29514) = 2
LCM(29506,29514) = ( 29506 × 29514) / 2
LCM(29506,29514) = 870840084 / 2
LCM(29506,29514) = 435420042

Least Common Multiple (LCM) of 29506 and 29514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29506 and 29514. First we will calculate the prime factors of 29506 and 29514.

Prime Factorization of 29506

Prime factors of 29506 are 2, 14753. Prime factorization of 29506 in exponential form is:

29506 = 21 × 147531

Prime Factorization of 29514

Prime factors of 29514 are 2, 3, 4919. Prime factorization of 29514 in exponential form is:

29514 = 21 × 31 × 49191

Now multiplying the highest exponent prime factors to calculate the LCM of 29506 and 29514.

LCM(29506,29514) = 21 × 147531 × 31 × 49191
LCM(29506,29514) = 435420042