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What is the Least Common Multiple of 66214 and 66224?

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 66214 and 66224 is 2192477968.

LCM(66214,66224) = 2192477968

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Least Common Multiple of 66214 and 66224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66214 and 66224, than apply into the LCM equation.

GCF(66214,66224) = 2
LCM(66214,66224) = ( 66214 × 66224) / 2
LCM(66214,66224) = 4384955936 / 2
LCM(66214,66224) = 2192477968

Least Common Multiple (LCM) of 66214 and 66224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66214 and 66224. First we will calculate the prime factors of 66214 and 66224.

Prime Factorization of 66214

Prime factors of 66214 are 2, 33107. Prime factorization of 66214 in exponential form is:

66214 = 21 × 331071

Prime Factorization of 66224

Prime factors of 66224 are 2, 4139. Prime factorization of 66224 in exponential form is:

66224 = 24 × 41391

Now multiplying the highest exponent prime factors to calculate the LCM of 66214 and 66224.

LCM(66214,66224) = 24 × 331071 × 41391
LCM(66214,66224) = 2192477968