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What is the Least Common Multiple of 64782 and 64786?

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 64782 and 64786 is 2098483326.

LCM(64782,64786) = 2098483326

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Least Common Multiple of 64782 and 64786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64782 and 64786, than apply into the LCM equation.

GCF(64782,64786) = 2
LCM(64782,64786) = ( 64782 × 64786) / 2
LCM(64782,64786) = 4196966652 / 2
LCM(64782,64786) = 2098483326

Least Common Multiple (LCM) of 64782 and 64786 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64782 and 64786. First we will calculate the prime factors of 64782 and 64786.

Prime Factorization of 64782

Prime factors of 64782 are 2, 3, 59, 61. Prime factorization of 64782 in exponential form is:

64782 = 21 × 32 × 591 × 611

Prime Factorization of 64786

Prime factors of 64786 are 2, 29, 1117. Prime factorization of 64786 in exponential form is:

64786 = 21 × 291 × 11171

Now multiplying the highest exponent prime factors to calculate the LCM of 64782 and 64786.

LCM(64782,64786) = 21 × 32 × 591 × 611 × 291 × 11171
LCM(64782,64786) = 2098483326