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What is the Least Common Multiple of 64887 and 64902?

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 64887 and 64902 is 1403765358.

LCM(64887,64902) = 1403765358

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Least Common Multiple of 64887 and 64902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64887 and 64902, than apply into the LCM equation.

GCF(64887,64902) = 3
LCM(64887,64902) = ( 64887 × 64902) / 3
LCM(64887,64902) = 4211296074 / 3
LCM(64887,64902) = 1403765358

Least Common Multiple (LCM) of 64887 and 64902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64887 and 64902. First we will calculate the prime factors of 64887 and 64902.

Prime Factorization of 64887

Prime factors of 64887 are 3, 43, 503. Prime factorization of 64887 in exponential form is:

64887 = 31 × 431 × 5031

Prime Factorization of 64902

Prime factors of 64902 are 2, 3, 29, 373. Prime factorization of 64902 in exponential form is:

64902 = 21 × 31 × 291 × 3731

Now multiplying the highest exponent prime factors to calculate the LCM of 64887 and 64902.

LCM(64887,64902) = 31 × 431 × 5031 × 21 × 291 × 3731
LCM(64887,64902) = 1403765358