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What is the Least Common Multiple of 29502 and 29522?

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 29502 and 29522 is 435479022.

LCM(29502,29522) = 435479022

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Least Common Multiple of 29502 and 29522 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29502 and 29522, than apply into the LCM equation.

GCF(29502,29522) = 2
LCM(29502,29522) = ( 29502 × 29522) / 2
LCM(29502,29522) = 870958044 / 2
LCM(29502,29522) = 435479022

Least Common Multiple (LCM) of 29502 and 29522 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29502 and 29522. First we will calculate the prime factors of 29502 and 29522.

Prime Factorization of 29502

Prime factors of 29502 are 2, 3, 11, 149. Prime factorization of 29502 in exponential form is:

29502 = 21 × 32 × 111 × 1491

Prime Factorization of 29522

Prime factors of 29522 are 2, 29, 509. Prime factorization of 29522 in exponential form is:

29522 = 21 × 291 × 5091

Now multiplying the highest exponent prime factors to calculate the LCM of 29502 and 29522.

LCM(29502,29522) = 21 × 32 × 111 × 1491 × 291 × 5091
LCM(29502,29522) = 435479022