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What is the Least Common Multiple of 64415 and 64423?

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 64415 and 64423 is 4149807545.

LCM(64415,64423) = 4149807545

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Least Common Multiple of 64415 and 64423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64415 and 64423, than apply into the LCM equation.

GCF(64415,64423) = 1
LCM(64415,64423) = ( 64415 × 64423) / 1
LCM(64415,64423) = 4149807545 / 1
LCM(64415,64423) = 4149807545

Least Common Multiple (LCM) of 64415 and 64423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64415 and 64423. First we will calculate the prime factors of 64415 and 64423.

Prime Factorization of 64415

Prime factors of 64415 are 5, 13, 991. Prime factorization of 64415 in exponential form is:

64415 = 51 × 131 × 9911

Prime Factorization of 64423

Prime factors of 64423 are 23, 2801. Prime factorization of 64423 in exponential form is:

64423 = 231 × 28011

Now multiplying the highest exponent prime factors to calculate the LCM of 64415 and 64423.

LCM(64415,64423) = 51 × 131 × 9911 × 231 × 28011
LCM(64415,64423) = 4149807545