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What is the Least Common Multiple of 25151 and 25167?

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 25151 and 25167 is 632975217.

LCM(25151,25167) = 632975217

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Least Common Multiple of 25151 and 25167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25151 and 25167, than apply into the LCM equation.

GCF(25151,25167) = 1
LCM(25151,25167) = ( 25151 × 25167) / 1
LCM(25151,25167) = 632975217 / 1
LCM(25151,25167) = 632975217

Least Common Multiple (LCM) of 25151 and 25167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25151 and 25167. First we will calculate the prime factors of 25151 and 25167.

Prime Factorization of 25151

Prime factors of 25151 are 7, 3593. Prime factorization of 25151 in exponential form is:

25151 = 71 × 35931

Prime Factorization of 25167

Prime factors of 25167 are 3, 8389. Prime factorization of 25167 in exponential form is:

25167 = 31 × 83891

Now multiplying the highest exponent prime factors to calculate the LCM of 25151 and 25167.

LCM(25151,25167) = 71 × 35931 × 31 × 83891
LCM(25151,25167) = 632975217