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What is the Least Common Multiple of 80276 and 80287?

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 80276 and 80287 is 6445119212.

LCM(80276,80287) = 6445119212

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Least Common Multiple of 80276 and 80287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80276 and 80287, than apply into the LCM equation.

GCF(80276,80287) = 1
LCM(80276,80287) = ( 80276 × 80287) / 1
LCM(80276,80287) = 6445119212 / 1
LCM(80276,80287) = 6445119212

Least Common Multiple (LCM) of 80276 and 80287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80276 and 80287. First we will calculate the prime factors of 80276 and 80287.

Prime Factorization of 80276

Prime factors of 80276 are 2, 7, 47, 61. Prime factorization of 80276 in exponential form is:

80276 = 22 × 71 × 471 × 611

Prime Factorization of 80287

Prime factors of 80287 are 80287. Prime factorization of 80287 in exponential form is:

80287 = 802871

Now multiplying the highest exponent prime factors to calculate the LCM of 80276 and 80287.

LCM(80276,80287) = 22 × 71 × 471 × 611 × 802871
LCM(80276,80287) = 6445119212