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What is the Least Common Multiple of 65542 and 65561?

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 65542 and 65561 is 4296999062.

LCM(65542,65561) = 4296999062

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Least Common Multiple of 65542 and 65561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65542 and 65561, than apply into the LCM equation.

GCF(65542,65561) = 1
LCM(65542,65561) = ( 65542 × 65561) / 1
LCM(65542,65561) = 4296999062 / 1
LCM(65542,65561) = 4296999062

Least Common Multiple (LCM) of 65542 and 65561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65542 and 65561. First we will calculate the prime factors of 65542 and 65561.

Prime Factorization of 65542

Prime factors of 65542 are 2, 32771. Prime factorization of 65542 in exponential form is:

65542 = 21 × 327711

Prime Factorization of 65561

Prime factors of 65561 are 53, 1237. Prime factorization of 65561 in exponential form is:

65561 = 531 × 12371

Now multiplying the highest exponent prime factors to calculate the LCM of 65542 and 65561.

LCM(65542,65561) = 21 × 327711 × 531 × 12371
LCM(65542,65561) = 4296999062