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What is the Least Common Multiple of 91842 and 91859?

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 91842 and 91859 is 8436514278.

LCM(91842,91859) = 8436514278

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Least Common Multiple of 91842 and 91859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91842 and 91859, than apply into the LCM equation.

GCF(91842,91859) = 1
LCM(91842,91859) = ( 91842 × 91859) / 1
LCM(91842,91859) = 8436514278 / 1
LCM(91842,91859) = 8436514278

Least Common Multiple (LCM) of 91842 and 91859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91842 and 91859. First we will calculate the prime factors of 91842 and 91859.

Prime Factorization of 91842

Prime factors of 91842 are 2, 3, 15307. Prime factorization of 91842 in exponential form is:

91842 = 21 × 31 × 153071

Prime Factorization of 91859

Prime factors of 91859 are 97, 947. Prime factorization of 91859 in exponential form is:

91859 = 971 × 9471

Now multiplying the highest exponent prime factors to calculate the LCM of 91842 and 91859.

LCM(91842,91859) = 21 × 31 × 153071 × 971 × 9471
LCM(91842,91859) = 8436514278