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What is the Least Common Multiple of 8303 and 8318?

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 8303 and 8318 is 69064354.

LCM(8303,8318) = 69064354

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Least Common Multiple of 8303 and 8318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8303 and 8318, than apply into the LCM equation.

GCF(8303,8318) = 1
LCM(8303,8318) = ( 8303 × 8318) / 1
LCM(8303,8318) = 69064354 / 1
LCM(8303,8318) = 69064354

Least Common Multiple (LCM) of 8303 and 8318 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8303 and 8318. First we will calculate the prime factors of 8303 and 8318.

Prime Factorization of 8303

Prime factors of 8303 are 19, 23. Prime factorization of 8303 in exponential form is:

8303 = 192 × 231

Prime Factorization of 8318

Prime factors of 8318 are 2, 4159. Prime factorization of 8318 in exponential form is:

8318 = 21 × 41591

Now multiplying the highest exponent prime factors to calculate the LCM of 8303 and 8318.

LCM(8303,8318) = 192 × 231 × 21 × 41591
LCM(8303,8318) = 69064354