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What is the Least Common Multiple of 25236 and 25240?

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 25236 and 25240 is 159239160.

LCM(25236,25240) = 159239160

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Least Common Multiple of 25236 and 25240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25236 and 25240, than apply into the LCM equation.

GCF(25236,25240) = 4
LCM(25236,25240) = ( 25236 × 25240) / 4
LCM(25236,25240) = 636956640 / 4
LCM(25236,25240) = 159239160

Least Common Multiple (LCM) of 25236 and 25240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25236 and 25240. First we will calculate the prime factors of 25236 and 25240.

Prime Factorization of 25236

Prime factors of 25236 are 2, 3, 701. Prime factorization of 25236 in exponential form is:

25236 = 22 × 32 × 7011

Prime Factorization of 25240

Prime factors of 25240 are 2, 5, 631. Prime factorization of 25240 in exponential form is:

25240 = 23 × 51 × 6311

Now multiplying the highest exponent prime factors to calculate the LCM of 25236 and 25240.

LCM(25236,25240) = 23 × 32 × 7011 × 51 × 6311
LCM(25236,25240) = 159239160