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What is the Least Common Multiple of 65409 and 65420?

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 65409 and 65420 is 4279056780.

LCM(65409,65420) = 4279056780

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Least Common Multiple of 65409 and 65420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65409 and 65420, than apply into the LCM equation.

GCF(65409,65420) = 1
LCM(65409,65420) = ( 65409 × 65420) / 1
LCM(65409,65420) = 4279056780 / 1
LCM(65409,65420) = 4279056780

Least Common Multiple (LCM) of 65409 and 65420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65409 and 65420. First we will calculate the prime factors of 65409 and 65420.

Prime Factorization of 65409

Prime factors of 65409 are 3, 21803. Prime factorization of 65409 in exponential form is:

65409 = 31 × 218031

Prime Factorization of 65420

Prime factors of 65420 are 2, 5, 3271. Prime factorization of 65420 in exponential form is:

65420 = 22 × 51 × 32711

Now multiplying the highest exponent prime factors to calculate the LCM of 65409 and 65420.

LCM(65409,65420) = 31 × 218031 × 22 × 51 × 32711
LCM(65409,65420) = 4279056780