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What is the Least Common Multiple of 64844 and 64854?

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 64844 and 64854 is 2102696388.

LCM(64844,64854) = 2102696388

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Least Common Multiple of 64844 and 64854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64844 and 64854, than apply into the LCM equation.

GCF(64844,64854) = 2
LCM(64844,64854) = ( 64844 × 64854) / 2
LCM(64844,64854) = 4205392776 / 2
LCM(64844,64854) = 2102696388

Least Common Multiple (LCM) of 64844 and 64854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64844 and 64854. First we will calculate the prime factors of 64844 and 64854.

Prime Factorization of 64844

Prime factors of 64844 are 2, 13, 29, 43. Prime factorization of 64844 in exponential form is:

64844 = 22 × 131 × 291 × 431

Prime Factorization of 64854

Prime factors of 64854 are 2, 3, 1201. Prime factorization of 64854 in exponential form is:

64854 = 21 × 33 × 12011

Now multiplying the highest exponent prime factors to calculate the LCM of 64844 and 64854.

LCM(64844,64854) = 22 × 131 × 291 × 431 × 33 × 12011
LCM(64844,64854) = 2102696388