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What is the Least Common Multiple of 48562 and 48569?

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 48562 and 48569 is 2358607778.

LCM(48562,48569) = 2358607778

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Least Common Multiple of 48562 and 48569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48562 and 48569, than apply into the LCM equation.

GCF(48562,48569) = 1
LCM(48562,48569) = ( 48562 × 48569) / 1
LCM(48562,48569) = 2358607778 / 1
LCM(48562,48569) = 2358607778

Least Common Multiple (LCM) of 48562 and 48569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48562 and 48569. First we will calculate the prime factors of 48562 and 48569.

Prime Factorization of 48562

Prime factors of 48562 are 2, 24281. Prime factorization of 48562 in exponential form is:

48562 = 21 × 242811

Prime Factorization of 48569

Prime factors of 48569 are 17, 2857. Prime factorization of 48569 in exponential form is:

48569 = 171 × 28571

Now multiplying the highest exponent prime factors to calculate the LCM of 48562 and 48569.

LCM(48562,48569) = 21 × 242811 × 171 × 28571
LCM(48562,48569) = 2358607778