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What is the Least Common Multiple of 8362 and 8376?

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 8362 and 8376 is 35020056.

LCM(8362,8376) = 35020056

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Least Common Multiple of 8362 and 8376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8362 and 8376, than apply into the LCM equation.

GCF(8362,8376) = 2
LCM(8362,8376) = ( 8362 × 8376) / 2
LCM(8362,8376) = 70040112 / 2
LCM(8362,8376) = 35020056

Least Common Multiple (LCM) of 8362 and 8376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8362 and 8376. First we will calculate the prime factors of 8362 and 8376.

Prime Factorization of 8362

Prime factors of 8362 are 2, 37, 113. Prime factorization of 8362 in exponential form is:

8362 = 21 × 371 × 1131

Prime Factorization of 8376

Prime factors of 8376 are 2, 3, 349. Prime factorization of 8376 in exponential form is:

8376 = 23 × 31 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 8362 and 8376.

LCM(8362,8376) = 23 × 371 × 1131 × 31 × 3491
LCM(8362,8376) = 35020056