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What is the Least Common Multiple of 65406 and 65426?

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 65406 and 65426 is 2139626478.

LCM(65406,65426) = 2139626478

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Least Common Multiple of 65406 and 65426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65406 and 65426, than apply into the LCM equation.

GCF(65406,65426) = 2
LCM(65406,65426) = ( 65406 × 65426) / 2
LCM(65406,65426) = 4279252956 / 2
LCM(65406,65426) = 2139626478

Least Common Multiple (LCM) of 65406 and 65426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65406 and 65426. First we will calculate the prime factors of 65406 and 65426.

Prime Factorization of 65406

Prime factors of 65406 are 2, 3, 11, 991. Prime factorization of 65406 in exponential form is:

65406 = 21 × 31 × 111 × 9911

Prime Factorization of 65426

Prime factors of 65426 are 2, 32713. Prime factorization of 65426 in exponential form is:

65426 = 21 × 327131

Now multiplying the highest exponent prime factors to calculate the LCM of 65406 and 65426.

LCM(65406,65426) = 21 × 31 × 111 × 9911 × 327131
LCM(65406,65426) = 2139626478