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What is the Least Common Multiple of 65450 and 65468?

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 65450 and 65468 is 2142440300.

LCM(65450,65468) = 2142440300

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Least Common Multiple of 65450 and 65468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65450 and 65468, than apply into the LCM equation.

GCF(65450,65468) = 2
LCM(65450,65468) = ( 65450 × 65468) / 2
LCM(65450,65468) = 4284880600 / 2
LCM(65450,65468) = 2142440300

Least Common Multiple (LCM) of 65450 and 65468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65450 and 65468. First we will calculate the prime factors of 65450 and 65468.

Prime Factorization of 65450

Prime factors of 65450 are 2, 5, 7, 11, 17. Prime factorization of 65450 in exponential form is:

65450 = 21 × 52 × 71 × 111 × 171

Prime Factorization of 65468

Prime factors of 65468 are 2, 13, 1259. Prime factorization of 65468 in exponential form is:

65468 = 22 × 131 × 12591

Now multiplying the highest exponent prime factors to calculate the LCM of 65450 and 65468.

LCM(65450,65468) = 22 × 52 × 71 × 111 × 171 × 131 × 12591
LCM(65450,65468) = 2142440300