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What is the Least Common Multiple of 62281 and 62292?

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 62281 and 62292 is 3879608052.

LCM(62281,62292) = 3879608052

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Least Common Multiple of 62281 and 62292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62281 and 62292, than apply into the LCM equation.

GCF(62281,62292) = 1
LCM(62281,62292) = ( 62281 × 62292) / 1
LCM(62281,62292) = 3879608052 / 1
LCM(62281,62292) = 3879608052

Least Common Multiple (LCM) of 62281 and 62292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62281 and 62292. First we will calculate the prime factors of 62281 and 62292.

Prime Factorization of 62281

Prime factors of 62281 are 61, 1021. Prime factorization of 62281 in exponential form is:

62281 = 611 × 10211

Prime Factorization of 62292

Prime factors of 62292 are 2, 3, 29, 179. Prime factorization of 62292 in exponential form is:

62292 = 22 × 31 × 291 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 62281 and 62292.

LCM(62281,62292) = 611 × 10211 × 22 × 31 × 291 × 1791
LCM(62281,62292) = 3879608052