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What is the Least Common Multiple of 25232 and 25244?

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 25232 and 25244 is 159239152.

LCM(25232,25244) = 159239152

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Least Common Multiple of 25232 and 25244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25232 and 25244, than apply into the LCM equation.

GCF(25232,25244) = 4
LCM(25232,25244) = ( 25232 × 25244) / 4
LCM(25232,25244) = 636956608 / 4
LCM(25232,25244) = 159239152

Least Common Multiple (LCM) of 25232 and 25244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25232 and 25244. First we will calculate the prime factors of 25232 and 25244.

Prime Factorization of 25232

Prime factors of 25232 are 2, 19, 83. Prime factorization of 25232 in exponential form is:

25232 = 24 × 191 × 831

Prime Factorization of 25244

Prime factors of 25244 are 2, 6311. Prime factorization of 25244 in exponential form is:

25244 = 22 × 63111

Now multiplying the highest exponent prime factors to calculate the LCM of 25232 and 25244.

LCM(25232,25244) = 24 × 191 × 831 × 63111
LCM(25232,25244) = 159239152