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What is the Least Common Multiple of 35846 and 35861?

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 35846 and 35861 is 1285473406.

LCM(35846,35861) = 1285473406

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Least Common Multiple of 35846 and 35861 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35846 and 35861, than apply into the LCM equation.

GCF(35846,35861) = 1
LCM(35846,35861) = ( 35846 × 35861) / 1
LCM(35846,35861) = 1285473406 / 1
LCM(35846,35861) = 1285473406

Least Common Multiple (LCM) of 35846 and 35861 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35846 and 35861. First we will calculate the prime factors of 35846 and 35861.

Prime Factorization of 35846

Prime factors of 35846 are 2, 17923. Prime factorization of 35846 in exponential form is:

35846 = 21 × 179231

Prime Factorization of 35861

Prime factors of 35861 are 7, 47, 109. Prime factorization of 35861 in exponential form is:

35861 = 71 × 471 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 35846 and 35861.

LCM(35846,35861) = 21 × 179231 × 71 × 471 × 1091
LCM(35846,35861) = 1285473406