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What is the Least Common Multiple of 84815 and 84832?

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 84815 and 84832 is 7195026080.

LCM(84815,84832) = 7195026080

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Least Common Multiple of 84815 and 84832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84815 and 84832, than apply into the LCM equation.

GCF(84815,84832) = 1
LCM(84815,84832) = ( 84815 × 84832) / 1
LCM(84815,84832) = 7195026080 / 1
LCM(84815,84832) = 7195026080

Least Common Multiple (LCM) of 84815 and 84832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84815 and 84832. First we will calculate the prime factors of 84815 and 84832.

Prime Factorization of 84815

Prime factors of 84815 are 5, 16963. Prime factorization of 84815 in exponential form is:

84815 = 51 × 169631

Prime Factorization of 84832

Prime factors of 84832 are 2, 11, 241. Prime factorization of 84832 in exponential form is:

84832 = 25 × 111 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 84815 and 84832.

LCM(84815,84832) = 51 × 169631 × 25 × 111 × 2411
LCM(84815,84832) = 7195026080