What is the Least Common Multiple of 25180 and 25188?
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 25180 and 25188 is 158558460.
LCM(25180,25188) = 158558460
Least Common Multiple of 25180 and 25188 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 25188, than apply into the LCM equation.
GCF(25180,25188) = 4
LCM(25180,25188) = ( 25180 × 25188) / 4
LCM(25180,25188) = 634233840 / 4
LCM(25180,25188) = 158558460
Least Common Multiple (LCM) of 25180 and 25188 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25180 and 25188. First we will calculate the prime factors of 25180 and 25188.
Prime Factorization of 25180
Prime factors of 25180 are 2, 5, 1259. Prime factorization of 25180 in exponential form is:
25180 = 22 × 51 × 12591
Prime Factorization of 25188
Prime factors of 25188 are 2, 3, 2099. Prime factorization of 25188 in exponential form is:
25188 = 22 × 31 × 20991
Now multiplying the highest exponent prime factors to calculate the LCM of 25180 and 25188.
LCM(25180,25188) = 22 × 51 × 12591 × 31 × 20991
LCM(25180,25188) = 158558460
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