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What is the Least Common Multiple of 65168 and 65184?

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 65168 and 65184 is 265494432.

LCM(65168,65184) = 265494432

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Least Common Multiple of 65168 and 65184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65168 and 65184, than apply into the LCM equation.

GCF(65168,65184) = 16
LCM(65168,65184) = ( 65168 × 65184) / 16
LCM(65168,65184) = 4247910912 / 16
LCM(65168,65184) = 265494432

Least Common Multiple (LCM) of 65168 and 65184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65168 and 65184. First we will calculate the prime factors of 65168 and 65184.

Prime Factorization of 65168

Prime factors of 65168 are 2, 4073. Prime factorization of 65168 in exponential form is:

65168 = 24 × 40731

Prime Factorization of 65184

Prime factors of 65184 are 2, 3, 7, 97. Prime factorization of 65184 in exponential form is:

65184 = 25 × 31 × 71 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 65168 and 65184.

LCM(65168,65184) = 25 × 40731 × 31 × 71 × 971
LCM(65168,65184) = 265494432