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What is the Least Common Multiple of 25615 and 25621?

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 25615 and 25621 is 656281915.

LCM(25615,25621) = 656281915

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Least Common Multiple of 25615 and 25621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25615 and 25621, than apply into the LCM equation.

GCF(25615,25621) = 1
LCM(25615,25621) = ( 25615 × 25621) / 1
LCM(25615,25621) = 656281915 / 1
LCM(25615,25621) = 656281915

Least Common Multiple (LCM) of 25615 and 25621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25615 and 25621. First we will calculate the prime factors of 25615 and 25621.

Prime Factorization of 25615

Prime factors of 25615 are 5, 47, 109. Prime factorization of 25615 in exponential form is:

25615 = 51 × 471 × 1091

Prime Factorization of 25621

Prime factors of 25621 are 25621. Prime factorization of 25621 in exponential form is:

25621 = 256211

Now multiplying the highest exponent prime factors to calculate the LCM of 25615 and 25621.

LCM(25615,25621) = 51 × 471 × 1091 × 256211
LCM(25615,25621) = 656281915