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What is the Least Common Multiple of 64840 and 64860?

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 64840 and 64860 is 210276120.

LCM(64840,64860) = 210276120

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Least Common Multiple of 64840 and 64860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64840 and 64860, than apply into the LCM equation.

GCF(64840,64860) = 20
LCM(64840,64860) = ( 64840 × 64860) / 20
LCM(64840,64860) = 4205522400 / 20
LCM(64840,64860) = 210276120

Least Common Multiple (LCM) of 64840 and 64860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64840 and 64860. First we will calculate the prime factors of 64840 and 64860.

Prime Factorization of 64840

Prime factors of 64840 are 2, 5, 1621. Prime factorization of 64840 in exponential form is:

64840 = 23 × 51 × 16211

Prime Factorization of 64860

Prime factors of 64860 are 2, 3, 5, 23, 47. Prime factorization of 64860 in exponential form is:

64860 = 22 × 31 × 51 × 231 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 64840 and 64860.

LCM(64840,64860) = 23 × 51 × 16211 × 31 × 231 × 471
LCM(64840,64860) = 210276120