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What is the Least Common Multiple of 64869 and 64874?

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 64869 and 64874 is 4208311506.

LCM(64869,64874) = 4208311506

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Least Common Multiple of 64869 and 64874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64869 and 64874, than apply into the LCM equation.

GCF(64869,64874) = 1
LCM(64869,64874) = ( 64869 × 64874) / 1
LCM(64869,64874) = 4208311506 / 1
LCM(64869,64874) = 4208311506

Least Common Multiple (LCM) of 64869 and 64874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64869 and 64874. First we will calculate the prime factors of 64869 and 64874.

Prime Factorization of 64869

Prime factors of 64869 are 3, 7, 3089. Prime factorization of 64869 in exponential form is:

64869 = 31 × 71 × 30891

Prime Factorization of 64874

Prime factors of 64874 are 2, 163, 199. Prime factorization of 64874 in exponential form is:

64874 = 21 × 1631 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 64869 and 64874.

LCM(64869,64874) = 31 × 71 × 30891 × 21 × 1631 × 1991
LCM(64869,64874) = 4208311506