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What is the Least Common Multiple of 64207 and 64211?

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 64207 and 64211 is 4122795677.

LCM(64207,64211) = 4122795677

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Least Common Multiple of 64207 and 64211 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64207 and 64211, than apply into the LCM equation.

GCF(64207,64211) = 1
LCM(64207,64211) = ( 64207 × 64211) / 1
LCM(64207,64211) = 4122795677 / 1
LCM(64207,64211) = 4122795677

Least Common Multiple (LCM) of 64207 and 64211 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64207 and 64211. First we will calculate the prime factors of 64207 and 64211.

Prime Factorization of 64207

Prime factors of 64207 are 11, 13, 449. Prime factorization of 64207 in exponential form is:

64207 = 111 × 131 × 4491

Prime Factorization of 64211

Prime factors of 64211 are 7, 9173. Prime factorization of 64211 in exponential form is:

64211 = 71 × 91731

Now multiplying the highest exponent prime factors to calculate the LCM of 64207 and 64211.

LCM(64207,64211) = 111 × 131 × 4491 × 71 × 91731
LCM(64207,64211) = 4122795677