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What is the Least Common Multiple of 92815 and 92832?

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 92815 and 92832 is 8616202080.

LCM(92815,92832) = 8616202080

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Least Common Multiple of 92815 and 92832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92815 and 92832, than apply into the LCM equation.

GCF(92815,92832) = 1
LCM(92815,92832) = ( 92815 × 92832) / 1
LCM(92815,92832) = 8616202080 / 1
LCM(92815,92832) = 8616202080

Least Common Multiple (LCM) of 92815 and 92832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92815 and 92832. First we will calculate the prime factors of 92815 and 92832.

Prime Factorization of 92815

Prime factors of 92815 are 5, 19, 977. Prime factorization of 92815 in exponential form is:

92815 = 51 × 191 × 9771

Prime Factorization of 92832

Prime factors of 92832 are 2, 3, 967. Prime factorization of 92832 in exponential form is:

92832 = 25 × 31 × 9671

Now multiplying the highest exponent prime factors to calculate the LCM of 92815 and 92832.

LCM(92815,92832) = 51 × 191 × 9771 × 25 × 31 × 9671
LCM(92815,92832) = 8616202080