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What is the Least Common Multiple of 25198 and 25211?

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 25198 and 25211 is 635266778.

LCM(25198,25211) = 635266778

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Least Common Multiple of 25198 and 25211 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25198 and 25211, than apply into the LCM equation.

GCF(25198,25211) = 1
LCM(25198,25211) = ( 25198 × 25211) / 1
LCM(25198,25211) = 635266778 / 1
LCM(25198,25211) = 635266778

Least Common Multiple (LCM) of 25198 and 25211 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25198 and 25211. First we will calculate the prime factors of 25198 and 25211.

Prime Factorization of 25198

Prime factors of 25198 are 2, 43, 293. Prime factorization of 25198 in exponential form is:

25198 = 21 × 431 × 2931

Prime Factorization of 25211

Prime factors of 25211 are 17, 1483. Prime factorization of 25211 in exponential form is:

25211 = 171 × 14831

Now multiplying the highest exponent prime factors to calculate the LCM of 25198 and 25211.

LCM(25198,25211) = 21 × 431 × 2931 × 171 × 14831
LCM(25198,25211) = 635266778