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What is the Least Common Multiple of 64130 and 64134?

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 64130 and 64134 is 2056456710.

LCM(64130,64134) = 2056456710

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Least Common Multiple of 64130 and 64134 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64130 and 64134, than apply into the LCM equation.

GCF(64130,64134) = 2
LCM(64130,64134) = ( 64130 × 64134) / 2
LCM(64130,64134) = 4112913420 / 2
LCM(64130,64134) = 2056456710

Least Common Multiple (LCM) of 64130 and 64134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64130 and 64134. First we will calculate the prime factors of 64130 and 64134.

Prime Factorization of 64130

Prime factors of 64130 are 2, 5, 11, 53. Prime factorization of 64130 in exponential form is:

64130 = 21 × 51 × 112 × 531

Prime Factorization of 64134

Prime factors of 64134 are 2, 3, 7, 509. Prime factorization of 64134 in exponential form is:

64134 = 21 × 32 × 71 × 5091

Now multiplying the highest exponent prime factors to calculate the LCM of 64130 and 64134.

LCM(64130,64134) = 21 × 51 × 112 × 531 × 32 × 71 × 5091
LCM(64130,64134) = 2056456710