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What is the Least Common Multiple of 29514 and 29523?

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 29514 and 29523 is 290447274.

LCM(29514,29523) = 290447274

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Least Common Multiple of 29514 and 29523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29514 and 29523, than apply into the LCM equation.

GCF(29514,29523) = 3
LCM(29514,29523) = ( 29514 × 29523) / 3
LCM(29514,29523) = 871341822 / 3
LCM(29514,29523) = 290447274

Least Common Multiple (LCM) of 29514 and 29523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29514 and 29523. First we will calculate the prime factors of 29514 and 29523.

Prime Factorization of 29514

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

29514 = 21 × 31 × 49191

Prime Factorization of 29523

Prime factors of 29523 are 3, 13, 757. Prime factorization of 29523 in exponential form is:

29523 = 31 × 131 × 7571

Now multiplying the highest exponent prime factors to calculate the LCM of 29514 and 29523.

LCM(29514,29523) = 21 × 31 × 49191 × 131 × 7571
LCM(29514,29523) = 290447274