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What is the Least Common Multiple of 61828 and 61847?

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 61828 and 61847 is 3823876316.

LCM(61828,61847) = 3823876316

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Least Common Multiple of 61828 and 61847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61828 and 61847, than apply into the LCM equation.

GCF(61828,61847) = 1
LCM(61828,61847) = ( 61828 × 61847) / 1
LCM(61828,61847) = 3823876316 / 1
LCM(61828,61847) = 3823876316

Least Common Multiple (LCM) of 61828 and 61847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61828 and 61847. First we will calculate the prime factors of 61828 and 61847.

Prime Factorization of 61828

Prime factors of 61828 are 2, 13, 29, 41. Prime factorization of 61828 in exponential form is:

61828 = 22 × 131 × 291 × 411

Prime Factorization of 61847

Prime factors of 61847 are 23, 2689. Prime factorization of 61847 in exponential form is:

61847 = 231 × 26891

Now multiplying the highest exponent prime factors to calculate the LCM of 61828 and 61847.

LCM(61828,61847) = 22 × 131 × 291 × 411 × 231 × 26891
LCM(61828,61847) = 3823876316