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What is the Least Common Multiple of 62121 and 62129?

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 62121 and 62129 is 3859515609.

LCM(62121,62129) = 3859515609

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Least Common Multiple of 62121 and 62129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62121 and 62129, than apply into the LCM equation.

GCF(62121,62129) = 1
LCM(62121,62129) = ( 62121 × 62129) / 1
LCM(62121,62129) = 3859515609 / 1
LCM(62121,62129) = 3859515609

Least Common Multiple (LCM) of 62121 and 62129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62121 and 62129. First we will calculate the prime factors of 62121 and 62129.

Prime Factorization of 62121

Prime factors of 62121 are 3, 20707. Prime factorization of 62121 in exponential form is:

62121 = 31 × 207071

Prime Factorization of 62129

Prime factors of 62129 are 62129. Prime factorization of 62129 in exponential form is:

62129 = 621291

Now multiplying the highest exponent prime factors to calculate the LCM of 62121 and 62129.

LCM(62121,62129) = 31 × 207071 × 621291
LCM(62121,62129) = 3859515609