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What is the Least Common Multiple of 64823 and 64843?

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 64823 and 64843 is 4203317789.

LCM(64823,64843) = 4203317789

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Least Common Multiple of 64823 and 64843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64823 and 64843, than apply into the LCM equation.

GCF(64823,64843) = 1
LCM(64823,64843) = ( 64823 × 64843) / 1
LCM(64823,64843) = 4203317789 / 1
LCM(64823,64843) = 4203317789

Least Common Multiple (LCM) of 64823 and 64843 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64823 and 64843. First we will calculate the prime factors of 64823 and 64843.

Prime Factorization of 64823

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

64823 = 111 × 711 × 831

Prime Factorization of 64843

Prime factors of 64843 are 61, 1063. Prime factorization of 64843 in exponential form is:

64843 = 611 × 10631

Now multiplying the highest exponent prime factors to calculate the LCM of 64823 and 64843.

LCM(64823,64843) = 111 × 711 × 831 × 611 × 10631
LCM(64823,64843) = 4203317789