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What is the Least Common Multiple of 64343 and 64358?

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 64343 and 64358 is 4140986794.

LCM(64343,64358) = 4140986794

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Least Common Multiple of 64343 and 64358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64343 and 64358, than apply into the LCM equation.

GCF(64343,64358) = 1
LCM(64343,64358) = ( 64343 × 64358) / 1
LCM(64343,64358) = 4140986794 / 1
LCM(64343,64358) = 4140986794

Least Common Multiple (LCM) of 64343 and 64358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64343 and 64358. First we will calculate the prime factors of 64343 and 64358.

Prime Factorization of 64343

Prime factors of 64343 are 37, 47. Prime factorization of 64343 in exponential form is:

64343 = 372 × 471

Prime Factorization of 64358

Prime factors of 64358 are 2, 7, 4597. Prime factorization of 64358 in exponential form is:

64358 = 21 × 71 × 45971

Now multiplying the highest exponent prime factors to calculate the LCM of 64343 and 64358.

LCM(64343,64358) = 372 × 471 × 21 × 71 × 45971
LCM(64343,64358) = 4140986794