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What is the Least Common Multiple of 65214 and 65218?

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 65214 and 65218 is 2126563326.

LCM(65214,65218) = 2126563326

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Least Common Multiple of 65214 and 65218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65214 and 65218, than apply into the LCM equation.

GCF(65214,65218) = 2
LCM(65214,65218) = ( 65214 × 65218) / 2
LCM(65214,65218) = 4253126652 / 2
LCM(65214,65218) = 2126563326

Least Common Multiple (LCM) of 65214 and 65218 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65214 and 65218. First we will calculate the prime factors of 65214 and 65218.

Prime Factorization of 65214

Prime factors of 65214 are 2, 3, 3623. Prime factorization of 65214 in exponential form is:

65214 = 21 × 32 × 36231

Prime Factorization of 65218

Prime factors of 65218 are 2, 32609. Prime factorization of 65218 in exponential form is:

65218 = 21 × 326091

Now multiplying the highest exponent prime factors to calculate the LCM of 65214 and 65218.

LCM(65214,65218) = 21 × 32 × 36231 × 326091
LCM(65214,65218) = 2126563326