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What is the Least Common Multiple of 64830 and 64840?

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 64830 and 64840 is 420357720.

LCM(64830,64840) = 420357720

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Least Common Multiple of 64830 and 64840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64830 and 64840, than apply into the LCM equation.

GCF(64830,64840) = 10
LCM(64830,64840) = ( 64830 × 64840) / 10
LCM(64830,64840) = 4203577200 / 10
LCM(64830,64840) = 420357720

Least Common Multiple (LCM) of 64830 and 64840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64830 and 64840. First we will calculate the prime factors of 64830 and 64840.

Prime Factorization of 64830

Prime factors of 64830 are 2, 3, 5, 2161. Prime factorization of 64830 in exponential form is:

64830 = 21 × 31 × 51 × 21611

Prime Factorization of 64840

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

64840 = 23 × 51 × 16211

Now multiplying the highest exponent prime factors to calculate the LCM of 64830 and 64840.

LCM(64830,64840) = 23 × 31 × 51 × 21611 × 16211
LCM(64830,64840) = 420357720