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What is the Least Common Multiple of 64340 and 64356?

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 64340 and 64356 is 1035166260.

LCM(64340,64356) = 1035166260

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Least Common Multiple of 64340 and 64356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64340 and 64356, than apply into the LCM equation.

GCF(64340,64356) = 4
LCM(64340,64356) = ( 64340 × 64356) / 4
LCM(64340,64356) = 4140665040 / 4
LCM(64340,64356) = 1035166260

Least Common Multiple (LCM) of 64340 and 64356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64340 and 64356. First we will calculate the prime factors of 64340 and 64356.

Prime Factorization of 64340

Prime factors of 64340 are 2, 5, 3217. Prime factorization of 64340 in exponential form is:

64340 = 22 × 51 × 32171

Prime Factorization of 64356

Prime factors of 64356 are 2, 3, 31, 173. Prime factorization of 64356 in exponential form is:

64356 = 22 × 31 × 311 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 64340 and 64356.

LCM(64340,64356) = 22 × 51 × 32171 × 31 × 311 × 1731
LCM(64340,64356) = 1035166260