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What is the Least Common Multiple of 64810 and 64823?

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 64810 and 64823 is 4201178630.

LCM(64810,64823) = 4201178630

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Least Common Multiple of 64810 and 64823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64810 and 64823, than apply into the LCM equation.

GCF(64810,64823) = 1
LCM(64810,64823) = ( 64810 × 64823) / 1
LCM(64810,64823) = 4201178630 / 1
LCM(64810,64823) = 4201178630

Least Common Multiple (LCM) of 64810 and 64823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64810 and 64823. First we will calculate the prime factors of 64810 and 64823.

Prime Factorization of 64810

Prime factors of 64810 are 2, 5, 6481. Prime factorization of 64810 in exponential form is:

64810 = 21 × 51 × 64811

Prime Factorization of 64823

Prime factors of 64823 are 11, 71, 83. Prime factorization of 64823 in exponential form is:

64823 = 111 × 711 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 64810 and 64823.

LCM(64810,64823) = 21 × 51 × 64811 × 111 × 711 × 831
LCM(64810,64823) = 4201178630