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What is the Least Common Multiple of 29474 and 29494?

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 29474 and 29494 is 434653078.

LCM(29474,29494) = 434653078

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Least Common Multiple of 29474 and 29494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29474 and 29494, than apply into the LCM equation.

GCF(29474,29494) = 2
LCM(29474,29494) = ( 29474 × 29494) / 2
LCM(29474,29494) = 869306156 / 2
LCM(29474,29494) = 434653078

Least Common Multiple (LCM) of 29474 and 29494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29474 and 29494. First we will calculate the prime factors of 29474 and 29494.

Prime Factorization of 29474

Prime factors of 29474 are 2, 14737. Prime factorization of 29474 in exponential form is:

29474 = 21 × 147371

Prime Factorization of 29494

Prime factors of 29494 are 2, 14747. Prime factorization of 29494 in exponential form is:

29494 = 21 × 147471

Now multiplying the highest exponent prime factors to calculate the LCM of 29474 and 29494.

LCM(29474,29494) = 21 × 147371 × 147471
LCM(29474,29494) = 434653078