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What is the Least Common Multiple of 59879 and 59894?

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 59879 and 59894 is 3586392826.

LCM(59879,59894) = 3586392826

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Least Common Multiple of 59879 and 59894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59879 and 59894, than apply into the LCM equation.

GCF(59879,59894) = 1
LCM(59879,59894) = ( 59879 × 59894) / 1
LCM(59879,59894) = 3586392826 / 1
LCM(59879,59894) = 3586392826

Least Common Multiple (LCM) of 59879 and 59894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59879 and 59894. First we will calculate the prime factors of 59879 and 59894.

Prime Factorization of 59879

Prime factors of 59879 are 59879. Prime factorization of 59879 in exponential form is:

59879 = 598791

Prime Factorization of 59894

Prime factors of 59894 are 2, 29947. Prime factorization of 59894 in exponential form is:

59894 = 21 × 299471

Now multiplying the highest exponent prime factors to calculate the LCM of 59879 and 59894.

LCM(59879,59894) = 598791 × 21 × 299471
LCM(59879,59894) = 3586392826