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What is the Least Common Multiple of 64211 and 64218?

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 64211 and 64218 is 589071714.

LCM(64211,64218) = 589071714

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Least Common Multiple of 64211 and 64218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64211 and 64218, than apply into the LCM equation.

GCF(64211,64218) = 7
LCM(64211,64218) = ( 64211 × 64218) / 7
LCM(64211,64218) = 4123501998 / 7
LCM(64211,64218) = 589071714

Least Common Multiple (LCM) of 64211 and 64218 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64211 and 64218. First we will calculate the prime factors of 64211 and 64218.

Prime Factorization of 64211

Prime factors of 64211 are 7, 9173. Prime factorization of 64211 in exponential form is:

64211 = 71 × 91731

Prime Factorization of 64218

Prime factors of 64218 are 2, 3, 7, 11, 139. Prime factorization of 64218 in exponential form is:

64218 = 21 × 31 × 71 × 111 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 64211 and 64218.

LCM(64211,64218) = 71 × 91731 × 21 × 31 × 111 × 1391
LCM(64211,64218) = 589071714