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What is the Least Common Multiple of 64201 and 64214?

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 64201 and 64214 is 4122603014.

LCM(64201,64214) = 4122603014

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Least Common Multiple of 64201 and 64214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64201 and 64214, than apply into the LCM equation.

GCF(64201,64214) = 1
LCM(64201,64214) = ( 64201 × 64214) / 1
LCM(64201,64214) = 4122603014 / 1
LCM(64201,64214) = 4122603014

Least Common Multiple (LCM) of 64201 and 64214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64201 and 64214. First we will calculate the prime factors of 64201 and 64214.

Prime Factorization of 64201

Prime factors of 64201 are 19, 31, 109. Prime factorization of 64201 in exponential form is:

64201 = 191 × 311 × 1091

Prime Factorization of 64214

Prime factors of 64214 are 2, 97, 331. Prime factorization of 64214 in exponential form is:

64214 = 21 × 971 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 64201 and 64214.

LCM(64201,64214) = 191 × 311 × 1091 × 21 × 971 × 3311
LCM(64201,64214) = 4122603014