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What is the Least Common Multiple of 79838 and 79847?

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 79838 and 79847 is 6374824786.

LCM(79838,79847) = 6374824786

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Least Common Multiple of 79838 and 79847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79838 and 79847, than apply into the LCM equation.

GCF(79838,79847) = 1
LCM(79838,79847) = ( 79838 × 79847) / 1
LCM(79838,79847) = 6374824786 / 1
LCM(79838,79847) = 6374824786

Least Common Multiple (LCM) of 79838 and 79847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79838 and 79847. First we will calculate the prime factors of 79838 and 79847.

Prime Factorization of 79838

Prime factors of 79838 are 2, 11, 19, 191. Prime factorization of 79838 in exponential form is:

79838 = 21 × 111 × 191 × 1911

Prime Factorization of 79847

Prime factors of 79847 are 79847. Prime factorization of 79847 in exponential form is:

79847 = 798471

Now multiplying the highest exponent prime factors to calculate the LCM of 79838 and 79847.

LCM(79838,79847) = 21 × 111 × 191 × 1911 × 798471
LCM(79838,79847) = 6374824786