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What is the Least Common Multiple of 76162 and 76167?

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 76162 and 76167 is 5801031054.

LCM(76162,76167) = 5801031054

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Least Common Multiple of 76162 and 76167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76162 and 76167, than apply into the LCM equation.

GCF(76162,76167) = 1
LCM(76162,76167) = ( 76162 × 76167) / 1
LCM(76162,76167) = 5801031054 / 1
LCM(76162,76167) = 5801031054

Least Common Multiple (LCM) of 76162 and 76167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76162 and 76167. First we will calculate the prime factors of 76162 and 76167.

Prime Factorization of 76162

Prime factors of 76162 are 2, 113, 337. Prime factorization of 76162 in exponential form is:

76162 = 21 × 1131 × 3371

Prime Factorization of 76167

Prime factors of 76167 are 3, 7, 13, 31. Prime factorization of 76167 in exponential form is:

76167 = 33 × 71 × 131 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 76162 and 76167.

LCM(76162,76167) = 21 × 1131 × 3371 × 33 × 71 × 131 × 311
LCM(76162,76167) = 5801031054