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What is the Least Common Multiple of 93214 and 93218?

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 93214 and 93218 is 4344611326.

LCM(93214,93218) = 4344611326

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Least Common Multiple of 93214 and 93218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93214 and 93218, than apply into the LCM equation.

GCF(93214,93218) = 2
LCM(93214,93218) = ( 93214 × 93218) / 2
LCM(93214,93218) = 8689222652 / 2
LCM(93214,93218) = 4344611326

Least Common Multiple (LCM) of 93214 and 93218 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93214 and 93218. First we will calculate the prime factors of 93214 and 93218.

Prime Factorization of 93214

Prime factors of 93214 are 2, 11, 19, 223. Prime factorization of 93214 in exponential form is:

93214 = 21 × 111 × 191 × 2231

Prime Factorization of 93218

Prime factors of 93218 are 2, 127, 367. Prime factorization of 93218 in exponential form is:

93218 = 21 × 1271 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 93214 and 93218.

LCM(93214,93218) = 21 × 111 × 191 × 2231 × 1271 × 3671
LCM(93214,93218) = 4344611326