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What is the Least Common Multiple of 6351 and 6358?

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 6351 and 6358 is 40379658.

LCM(6351,6358) = 40379658

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Least Common Multiple of 6351 and 6358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6351 and 6358, than apply into the LCM equation.

GCF(6351,6358) = 1
LCM(6351,6358) = ( 6351 × 6358) / 1
LCM(6351,6358) = 40379658 / 1
LCM(6351,6358) = 40379658

Least Common Multiple (LCM) of 6351 and 6358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6351 and 6358. First we will calculate the prime factors of 6351 and 6358.

Prime Factorization of 6351

Prime factors of 6351 are 3, 29, 73. Prime factorization of 6351 in exponential form is:

6351 = 31 × 291 × 731

Prime Factorization of 6358

Prime factors of 6358 are 2, 11, 17. Prime factorization of 6358 in exponential form is:

6358 = 21 × 111 × 172

Now multiplying the highest exponent prime factors to calculate the LCM of 6351 and 6358.

LCM(6351,6358) = 31 × 291 × 731 × 21 × 111 × 172
LCM(6351,6358) = 40379658