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What is the Least Common Multiple of 12542 and 12562?

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 12542 and 12562 is 78776302.

LCM(12542,12562) = 78776302

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Least Common Multiple of 12542 and 12562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12542 and 12562, than apply into the LCM equation.

GCF(12542,12562) = 2
LCM(12542,12562) = ( 12542 × 12562) / 2
LCM(12542,12562) = 157552604 / 2
LCM(12542,12562) = 78776302

Least Common Multiple (LCM) of 12542 and 12562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12542 and 12562. First we will calculate the prime factors of 12542 and 12562.

Prime Factorization of 12542

Prime factors of 12542 are 2, 6271. Prime factorization of 12542 in exponential form is:

12542 = 21 × 62711

Prime Factorization of 12562

Prime factors of 12562 are 2, 11, 571. Prime factorization of 12562 in exponential form is:

12562 = 21 × 111 × 5711

Now multiplying the highest exponent prime factors to calculate the LCM of 12542 and 12562.

LCM(12542,12562) = 21 × 62711 × 111 × 5711
LCM(12542,12562) = 78776302