What is the Least Common Multiple of 25180 and 25185?

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 of 25180 and 25185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25180 and 25185, than apply into the LCM equation.

GCF(25180,25185) = 5
LCM(25180,25185) = ( 25180 × 25185) / 5
LCM(25180,25185) = 634158300 / 5
LCM(25180,25185) = 126831660

Least Common Multiple (LCM) of 25180 and 25185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25180 and 25185. First we will calculate the prime factors of 25180 and 25185.

Prime Factorization of 25180

Prime Factorization of 25185

Now multiplying the highest exponent prime factors to calculate the LCM of 25180 and 25185.

LCM(25180,25185) = 2² × 5¹ × 1259¹ × 3¹ × 23¹ × 73¹
LCM(25180,25185) = 126831660