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Least Common Multiple of 214 and 221

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 214 and 221 is 47294.

LCM(214,221) = 47294

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Least Common Multiple of 214 and 221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 214 and 221, than apply into the LCM equation.

GCF(214,221) = 1
LCM(214,221) = ( 214 × 221) / 1
LCM(214,221) = 47294 / 1
LCM(214,221) = 47294

Least Common Multiple (LCM) of 214 and 221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 214 and 221. First we will calculate the prime factors of 214 and 221.

Prime Factorization of 214

Prime factors of 214 are 2, 107. Prime factorization of 214 in exponential form is:

214 = 21 × 1071

Prime Factorization of 221

Prime factors of 221 are 13, 17. Prime factorization of 221 in exponential form is:

221 = 131 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 214 and 221.

LCM(214,221) = 21 × 1071 × 131 × 171
LCM(214,221) = 47294

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