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What is the Least Common Multiple of 25162 and 25180?

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 25162 and 25180 is 316789580.

LCM(25162,25180) = 316789580

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Least Common Multiple of 25162 and 25180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25162 and 25180, than apply into the LCM equation.

GCF(25162,25180) = 2
LCM(25162,25180) = ( 25162 × 25180) / 2
LCM(25162,25180) = 633579160 / 2
LCM(25162,25180) = 316789580

Least Common Multiple (LCM) of 25162 and 25180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25162 and 25180. First we will calculate the prime factors of 25162 and 25180.

Prime Factorization of 25162

Prime factors of 25162 are 2, 23, 547. Prime factorization of 25162 in exponential form is:

25162 = 21 × 231 × 5471

Prime Factorization of 25180

Prime factors of 25180 are 2, 5, 1259. Prime factorization of 25180 in exponential form is:

25180 = 22 × 51 × 12591

Now multiplying the highest exponent prime factors to calculate the LCM of 25162 and 25180.

LCM(25162,25180) = 22 × 231 × 5471 × 51 × 12591
LCM(25162,25180) = 316789580