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What is the Least Common Multiple of 80236 and 80247?

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 80236 and 80247 is 6438698292.

LCM(80236,80247) = 6438698292

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Least Common Multiple of 80236 and 80247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80236 and 80247, than apply into the LCM equation.

GCF(80236,80247) = 1
LCM(80236,80247) = ( 80236 × 80247) / 1
LCM(80236,80247) = 6438698292 / 1
LCM(80236,80247) = 6438698292

Least Common Multiple (LCM) of 80236 and 80247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80236 and 80247. First we will calculate the prime factors of 80236 and 80247.

Prime Factorization of 80236

Prime factors of 80236 are 2, 13, 1543. Prime factorization of 80236 in exponential form is:

80236 = 22 × 131 × 15431

Prime Factorization of 80247

Prime factors of 80247 are 3, 23, 1163. Prime factorization of 80247 in exponential form is:

80247 = 31 × 231 × 11631

Now multiplying the highest exponent prime factors to calculate the LCM of 80236 and 80247.

LCM(80236,80247) = 22 × 131 × 15431 × 31 × 231 × 11631
LCM(80236,80247) = 6438698292