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What is the Least Common Multiple of 64281 and 64290?

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 64281 and 64290 is 1377541830.

LCM(64281,64290) = 1377541830

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Least Common Multiple of 64281 and 64290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64281 and 64290, than apply into the LCM equation.

GCF(64281,64290) = 3
LCM(64281,64290) = ( 64281 × 64290) / 3
LCM(64281,64290) = 4132625490 / 3
LCM(64281,64290) = 1377541830

Least Common Multiple (LCM) of 64281 and 64290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64281 and 64290. First we will calculate the prime factors of 64281 and 64290.

Prime Factorization of 64281

Prime factors of 64281 are 3, 7, 3061. Prime factorization of 64281 in exponential form is:

64281 = 31 × 71 × 30611

Prime Factorization of 64290

Prime factors of 64290 are 2, 3, 5, 2143. Prime factorization of 64290 in exponential form is:

64290 = 21 × 31 × 51 × 21431

Now multiplying the highest exponent prime factors to calculate the LCM of 64281 and 64290.

LCM(64281,64290) = 31 × 71 × 30611 × 21 × 51 × 21431
LCM(64281,64290) = 1377541830