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What is the Least Common Multiple of 65208 and 65225?

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 65208 and 65225 is 4253191800.

LCM(65208,65225) = 4253191800

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Least Common Multiple of 65208 and 65225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65208 and 65225, than apply into the LCM equation.

GCF(65208,65225) = 1
LCM(65208,65225) = ( 65208 × 65225) / 1
LCM(65208,65225) = 4253191800 / 1
LCM(65208,65225) = 4253191800

Least Common Multiple (LCM) of 65208 and 65225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65208 and 65225. First we will calculate the prime factors of 65208 and 65225.

Prime Factorization of 65208

Prime factors of 65208 are 2, 3, 11, 13, 19. Prime factorization of 65208 in exponential form is:

65208 = 23 × 31 × 111 × 131 × 191

Prime Factorization of 65225

Prime factors of 65225 are 5, 2609. Prime factorization of 65225 in exponential form is:

65225 = 52 × 26091

Now multiplying the highest exponent prime factors to calculate the LCM of 65208 and 65225.

LCM(65208,65225) = 23 × 31 × 111 × 131 × 191 × 52 × 26091
LCM(65208,65225) = 4253191800