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What is the Least Common Multiple of 29714 and 29730?

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 29714 and 29730 is 441698610.

LCM(29714,29730) = 441698610

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Least Common Multiple of 29714 and 29730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29714 and 29730, than apply into the LCM equation.

GCF(29714,29730) = 2
LCM(29714,29730) = ( 29714 × 29730) / 2
LCM(29714,29730) = 883397220 / 2
LCM(29714,29730) = 441698610

Least Common Multiple (LCM) of 29714 and 29730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29714 and 29730. First we will calculate the prime factors of 29714 and 29730.

Prime Factorization of 29714

Prime factors of 29714 are 2, 83, 179. Prime factorization of 29714 in exponential form is:

29714 = 21 × 831 × 1791

Prime Factorization of 29730

Prime factors of 29730 are 2, 3, 5, 991. Prime factorization of 29730 in exponential form is:

29730 = 21 × 31 × 51 × 9911

Now multiplying the highest exponent prime factors to calculate the LCM of 29714 and 29730.

LCM(29714,29730) = 21 × 831 × 1791 × 31 × 51 × 9911
LCM(29714,29730) = 441698610