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What is the Least Common Multiple of 64134 and 64142?

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 64134 and 64142 is 2056841514.

LCM(64134,64142) = 2056841514

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Least Common Multiple of 64134 and 64142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64134 and 64142, than apply into the LCM equation.

GCF(64134,64142) = 2
LCM(64134,64142) = ( 64134 × 64142) / 2
LCM(64134,64142) = 4113683028 / 2
LCM(64134,64142) = 2056841514

Least Common Multiple (LCM) of 64134 and 64142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64134 and 64142. First we will calculate the prime factors of 64134 and 64142.

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

Prime Factorization of 64142

Prime factors of 64142 are 2, 13, 2467. Prime factorization of 64142 in exponential form is:

64142 = 21 × 131 × 24671

Now multiplying the highest exponent prime factors to calculate the LCM of 64134 and 64142.

LCM(64134,64142) = 21 × 32 × 71 × 5091 × 131 × 24671
LCM(64134,64142) = 2056841514