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What is the Least Common Multiple of 64247 and 64263?

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 64247 and 64263 is 4128704961.

LCM(64247,64263) = 4128704961

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Least Common Multiple of 64247 and 64263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64247 and 64263, than apply into the LCM equation.

GCF(64247,64263) = 1
LCM(64247,64263) = ( 64247 × 64263) / 1
LCM(64247,64263) = 4128704961 / 1
LCM(64247,64263) = 4128704961

Least Common Multiple (LCM) of 64247 and 64263 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64247 and 64263. First we will calculate the prime factors of 64247 and 64263.

Prime Factorization of 64247

Prime factors of 64247 are 41, 1567. Prime factorization of 64247 in exponential form is:

64247 = 411 × 15671

Prime Factorization of 64263

Prime factors of 64263 are 3, 31, 691. Prime factorization of 64263 in exponential form is:

64263 = 31 × 311 × 6911

Now multiplying the highest exponent prime factors to calculate the LCM of 64247 and 64263.

LCM(64247,64263) = 411 × 15671 × 31 × 311 × 6911
LCM(64247,64263) = 4128704961