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What is the Least Common Multiple of 64756 and 64766?

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 64756 and 64766 is 2096993548.

LCM(64756,64766) = 2096993548

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Least Common Multiple of 64756 and 64766 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64756 and 64766, than apply into the LCM equation.

GCF(64756,64766) = 2
LCM(64756,64766) = ( 64756 × 64766) / 2
LCM(64756,64766) = 4193987096 / 2
LCM(64756,64766) = 2096993548

Least Common Multiple (LCM) of 64756 and 64766 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64756 and 64766. First we will calculate the prime factors of 64756 and 64766.

Prime Factorization of 64756

Prime factors of 64756 are 2, 16189. Prime factorization of 64756 in exponential form is:

64756 = 22 × 161891

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

Now multiplying the highest exponent prime factors to calculate the LCM of 64756 and 64766.

LCM(64756,64766) = 22 × 161891 × 131 × 471 × 531
LCM(64756,64766) = 2096993548