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What is the Least Common Multiple of 35332 and 35343?

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 35332 and 35343 is 113521716.

LCM(35332,35343) = 113521716

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Least Common Multiple of 35332 and 35343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35332 and 35343, than apply into the LCM equation.

GCF(35332,35343) = 11
LCM(35332,35343) = ( 35332 × 35343) / 11
LCM(35332,35343) = 1248738876 / 11
LCM(35332,35343) = 113521716

Least Common Multiple (LCM) of 35332 and 35343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35332 and 35343. First we will calculate the prime factors of 35332 and 35343.

Prime Factorization of 35332

Prime factors of 35332 are 2, 11, 73. Prime factorization of 35332 in exponential form is:

35332 = 22 × 112 × 731

Prime Factorization of 35343

Prime factors of 35343 are 3, 7, 11, 17. Prime factorization of 35343 in exponential form is:

35343 = 33 × 71 × 111 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 35332 and 35343.

LCM(35332,35343) = 22 × 112 × 731 × 33 × 71 × 171
LCM(35332,35343) = 113521716