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What is the Least Common Multiple of 29523 and 29542?

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 29523 and 29542 is 872168466.

LCM(29523,29542) = 872168466

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Least Common Multiple of 29523 and 29542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29523 and 29542, than apply into the LCM equation.

GCF(29523,29542) = 1
LCM(29523,29542) = ( 29523 × 29542) / 1
LCM(29523,29542) = 872168466 / 1
LCM(29523,29542) = 872168466

Least Common Multiple (LCM) of 29523 and 29542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29523 and 29542. First we will calculate the prime factors of 29523 and 29542.

Prime Factorization of 29523

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

29523 = 31 × 131 × 7571

Prime Factorization of 29542

Prime factors of 29542 are 2, 14771. Prime factorization of 29542 in exponential form is:

29542 = 21 × 147711

Now multiplying the highest exponent prime factors to calculate the LCM of 29523 and 29542.

LCM(29523,29542) = 31 × 131 × 7571 × 21 × 147711
LCM(29523,29542) = 872168466