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What is the Least Common Multiple of 62661 and 62669?

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 62661 and 62669 is 3926902209.

LCM(62661,62669) = 3926902209

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Least Common Multiple of 62661 and 62669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62661 and 62669, than apply into the LCM equation.

GCF(62661,62669) = 1
LCM(62661,62669) = ( 62661 × 62669) / 1
LCM(62661,62669) = 3926902209 / 1
LCM(62661,62669) = 3926902209

Least Common Multiple (LCM) of 62661 and 62669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62661 and 62669. First we will calculate the prime factors of 62661 and 62669.

Prime Factorization of 62661

Prime factors of 62661 are 3, 20887. Prime factorization of 62661 in exponential form is:

62661 = 31 × 208871

Prime Factorization of 62669

Prime factors of 62669 are 29, 2161. Prime factorization of 62669 in exponential form is:

62669 = 291 × 21611

Now multiplying the highest exponent prime factors to calculate the LCM of 62661 and 62669.

LCM(62661,62669) = 31 × 208871 × 291 × 21611
LCM(62661,62669) = 3926902209