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What is the Least Common Multiple of 80248 and 80265?

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 80248 and 80265 is 6441105720.

LCM(80248,80265) = 6441105720

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Least Common Multiple of 80248 and 80265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80248 and 80265, than apply into the LCM equation.

GCF(80248,80265) = 1
LCM(80248,80265) = ( 80248 × 80265) / 1
LCM(80248,80265) = 6441105720 / 1
LCM(80248,80265) = 6441105720

Least Common Multiple (LCM) of 80248 and 80265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80248 and 80265. First we will calculate the prime factors of 80248 and 80265.

Prime Factorization of 80248

Prime factors of 80248 are 2, 7, 1433. Prime factorization of 80248 in exponential form is:

80248 = 23 × 71 × 14331

Prime Factorization of 80265

Prime factors of 80265 are 3, 5, 5351. Prime factorization of 80265 in exponential form is:

80265 = 31 × 51 × 53511

Now multiplying the highest exponent prime factors to calculate the LCM of 80248 and 80265.

LCM(80248,80265) = 23 × 71 × 14331 × 31 × 51 × 53511
LCM(80248,80265) = 6441105720