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What is the Least Common Multiple of 35486 and 35497?

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 35486 and 35497 is 114513322.

LCM(35486,35497) = 114513322

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Least Common Multiple of 35486 and 35497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35486 and 35497, than apply into the LCM equation.

GCF(35486,35497) = 11
LCM(35486,35497) = ( 35486 × 35497) / 11
LCM(35486,35497) = 1259646542 / 11
LCM(35486,35497) = 114513322

Least Common Multiple (LCM) of 35486 and 35497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35486 and 35497. First we will calculate the prime factors of 35486 and 35497.

Prime Factorization of 35486

Prime factors of 35486 are 2, 11, 1613. Prime factorization of 35486 in exponential form is:

35486 = 21 × 111 × 16131

Prime Factorization of 35497

Prime factors of 35497 are 7, 11, 461. Prime factorization of 35497 in exponential form is:

35497 = 71 × 111 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 35486 and 35497.

LCM(35486,35497) = 21 × 111 × 16131 × 71 × 4611
LCM(35486,35497) = 114513322