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What is the Least Common Multiple of 64815 and 64831?

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 64815 and 64831 is 4202021265.

LCM(64815,64831) = 4202021265

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Least Common Multiple of 64815 and 64831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64815 and 64831, than apply into the LCM equation.

GCF(64815,64831) = 1
LCM(64815,64831) = ( 64815 × 64831) / 1
LCM(64815,64831) = 4202021265 / 1
LCM(64815,64831) = 4202021265

Least Common Multiple (LCM) of 64815 and 64831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64815 and 64831. First we will calculate the prime factors of 64815 and 64831.

Prime Factorization of 64815

Prime factors of 64815 are 3, 5, 29, 149. Prime factorization of 64815 in exponential form is:

64815 = 31 × 51 × 291 × 1491

Prime Factorization of 64831

Prime factors of 64831 are 13, 4987. Prime factorization of 64831 in exponential form is:

64831 = 131 × 49871

Now multiplying the highest exponent prime factors to calculate the LCM of 64815 and 64831.

LCM(64815,64831) = 31 × 51 × 291 × 1491 × 131 × 49871
LCM(64815,64831) = 4202021265