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What is the Least Common Multiple of 29473 and 29478?

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 29473 and 29478 is 868805094.

LCM(29473,29478) = 868805094

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Least Common Multiple of 29473 and 29478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29473 and 29478, than apply into the LCM equation.

GCF(29473,29478) = 1
LCM(29473,29478) = ( 29473 × 29478) / 1
LCM(29473,29478) = 868805094 / 1
LCM(29473,29478) = 868805094

Least Common Multiple (LCM) of 29473 and 29478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29473 and 29478. First we will calculate the prime factors of 29473 and 29478.

Prime Factorization of 29473

Prime factors of 29473 are 29473. Prime factorization of 29473 in exponential form is:

29473 = 294731

Prime Factorization of 29478

Prime factors of 29478 are 2, 3, 17. Prime factorization of 29478 in exponential form is:

29478 = 21 × 31 × 173

Now multiplying the highest exponent prime factors to calculate the LCM of 29473 and 29478.

LCM(29473,29478) = 294731 × 21 × 31 × 173
LCM(29473,29478) = 868805094