GCF and LCM Calculator Logo

What is the Least Common Multiple of 25168 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 25168 and 25180 is 158432560.

LCM(25168,25180) = 158432560

LCM Calculator and
and

Least Common Multiple of 25168 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 25168 and 25180, than apply into the LCM equation.

GCF(25168,25180) = 4
LCM(25168,25180) = ( 25168 × 25180) / 4
LCM(25168,25180) = 633730240 / 4
LCM(25168,25180) = 158432560

Least Common Multiple (LCM) of 25168 and 25180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25168 and 25180. First we will calculate the prime factors of 25168 and 25180.

Prime Factorization of 25168

Prime factors of 25168 are 2, 11, 13. Prime factorization of 25168 in exponential form is:

25168 = 24 × 112 × 131

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 25168 and 25180.

LCM(25168,25180) = 24 × 112 × 131 × 51 × 12591
LCM(25168,25180) = 158432560