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What is the Least Common Multiple of 64766 and 64782?

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 64766 and 64782 is 2097835506.

LCM(64766,64782) = 2097835506

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Least Common Multiple of 64766 and 64782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64766 and 64782, than apply into the LCM equation.

GCF(64766,64782) = 2
LCM(64766,64782) = ( 64766 × 64782) / 2
LCM(64766,64782) = 4195671012 / 2
LCM(64766,64782) = 2097835506

Least Common Multiple (LCM) of 64766 and 64782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64766 and 64782. First we will calculate the prime factors of 64766 and 64782.

Prime Factorization of 64766

Prime factors of 64766 are 2, 13, 47, 53. Prime factorization of 64766 in exponential form is:

64766 = 21 × 131 × 471 × 531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 64766 and 64782.

LCM(64766,64782) = 21 × 131 × 471 × 531 × 32 × 591 × 611
LCM(64766,64782) = 2097835506