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What is the Least Common Multiple of 64208 and 64223?

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 64208 and 64223 is 4123630384.

LCM(64208,64223) = 4123630384

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Least Common Multiple of 64208 and 64223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64208 and 64223, than apply into the LCM equation.

GCF(64208,64223) = 1
LCM(64208,64223) = ( 64208 × 64223) / 1
LCM(64208,64223) = 4123630384 / 1
LCM(64208,64223) = 4123630384

Least Common Multiple (LCM) of 64208 and 64223 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64208 and 64223. First we will calculate the prime factors of 64208 and 64223.

Prime Factorization of 64208

Prime factors of 64208 are 2, 4013. Prime factorization of 64208 in exponential form is:

64208 = 24 × 40131

Prime Factorization of 64223

Prime factors of 64223 are 64223. Prime factorization of 64223 in exponential form is:

64223 = 642231

Now multiplying the highest exponent prime factors to calculate the LCM of 64208 and 64223.

LCM(64208,64223) = 24 × 40131 × 642231
LCM(64208,64223) = 4123630384