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What is the Least Common Multiple of 62276 and 62293?

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 62276 and 62293 is 3879358868.

LCM(62276,62293) = 3879358868

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Least Common Multiple of 62276 and 62293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62276 and 62293, than apply into the LCM equation.

GCF(62276,62293) = 1
LCM(62276,62293) = ( 62276 × 62293) / 1
LCM(62276,62293) = 3879358868 / 1
LCM(62276,62293) = 3879358868

Least Common Multiple (LCM) of 62276 and 62293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62276 and 62293. First we will calculate the prime factors of 62276 and 62293.

Prime Factorization of 62276

Prime factors of 62276 are 2, 15569. Prime factorization of 62276 in exponential form is:

62276 = 22 × 155691

Prime Factorization of 62293

Prime factors of 62293 are 7, 11, 809. Prime factorization of 62293 in exponential form is:

62293 = 71 × 111 × 8091

Now multiplying the highest exponent prime factors to calculate the LCM of 62276 and 62293.

LCM(62276,62293) = 22 × 155691 × 71 × 111 × 8091
LCM(62276,62293) = 3879358868