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What is the Least Common Multiple of 29550 and 29554?

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 29550 and 29554 is 436660350.

LCM(29550,29554) = 436660350

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Least Common Multiple of 29550 and 29554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29550 and 29554, than apply into the LCM equation.

GCF(29550,29554) = 2
LCM(29550,29554) = ( 29550 × 29554) / 2
LCM(29550,29554) = 873320700 / 2
LCM(29550,29554) = 436660350

Least Common Multiple (LCM) of 29550 and 29554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29550 and 29554. First we will calculate the prime factors of 29550 and 29554.

Prime Factorization of 29550

Prime factors of 29550 are 2, 3, 5, 197. Prime factorization of 29550 in exponential form is:

29550 = 21 × 31 × 52 × 1971

Prime Factorization of 29554

Prime factors of 29554 are 2, 7, 2111. Prime factorization of 29554 in exponential form is:

29554 = 21 × 71 × 21111

Now multiplying the highest exponent prime factors to calculate the LCM of 29550 and 29554.

LCM(29550,29554) = 21 × 31 × 52 × 1971 × 71 × 21111
LCM(29550,29554) = 436660350