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What is the Least Common Multiple of 65547 and 65562?

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 65547 and 65562 is 1432464138.

LCM(65547,65562) = 1432464138

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Least Common Multiple of 65547 and 65562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65547 and 65562, than apply into the LCM equation.

GCF(65547,65562) = 3
LCM(65547,65562) = ( 65547 × 65562) / 3
LCM(65547,65562) = 4297392414 / 3
LCM(65547,65562) = 1432464138

Least Common Multiple (LCM) of 65547 and 65562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65547 and 65562. First we will calculate the prime factors of 65547 and 65562.

Prime Factorization of 65547

Prime factors of 65547 are 3, 7283. Prime factorization of 65547 in exponential form is:

65547 = 32 × 72831

Prime Factorization of 65562

Prime factors of 65562 are 2, 3, 7, 223. Prime factorization of 65562 in exponential form is:

65562 = 21 × 31 × 72 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 65547 and 65562.

LCM(65547,65562) = 32 × 72831 × 21 × 72 × 2231
LCM(65547,65562) = 1432464138