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What is the Least Common Multiple of 62619 and 62626?

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 62619 and 62626 is 3921577494.

LCM(62619,62626) = 3921577494

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Least Common Multiple of 62619 and 62626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62619 and 62626, than apply into the LCM equation.

GCF(62619,62626) = 1
LCM(62619,62626) = ( 62619 × 62626) / 1
LCM(62619,62626) = 3921577494 / 1
LCM(62619,62626) = 3921577494

Least Common Multiple (LCM) of 62619 and 62626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62619 and 62626. First we will calculate the prime factors of 62619 and 62626.

Prime Factorization of 62619

Prime factors of 62619 are 3, 20873. Prime factorization of 62619 in exponential form is:

62619 = 31 × 208731

Prime Factorization of 62626

Prime factors of 62626 are 2, 173, 181. Prime factorization of 62626 in exponential form is:

62626 = 21 × 1731 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 62619 and 62626.

LCM(62619,62626) = 31 × 208731 × 21 × 1731 × 1811
LCM(62619,62626) = 3921577494