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What is the Least Common Multiple of 25202 and 25216?

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 25202 and 25216 is 317746816.

LCM(25202,25216) = 317746816

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Least Common Multiple of 25202 and 25216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25202 and 25216, than apply into the LCM equation.

GCF(25202,25216) = 2
LCM(25202,25216) = ( 25202 × 25216) / 2
LCM(25202,25216) = 635493632 / 2
LCM(25202,25216) = 317746816

Least Common Multiple (LCM) of 25202 and 25216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25202 and 25216. First we will calculate the prime factors of 25202 and 25216.

Prime Factorization of 25202

Prime factors of 25202 are 2, 12601. Prime factorization of 25202 in exponential form is:

25202 = 21 × 126011

Prime Factorization of 25216

Prime factors of 25216 are 2, 197. Prime factorization of 25216 in exponential form is:

25216 = 27 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 25202 and 25216.

LCM(25202,25216) = 27 × 126011 × 1971
LCM(25202,25216) = 317746816