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What is the Least Common Multiple of 60665 and 60669?

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 60665 and 60669 is 3680484885.

LCM(60665,60669) = 3680484885

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Least Common Multiple of 60665 and 60669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60665 and 60669, than apply into the LCM equation.

GCF(60665,60669) = 1
LCM(60665,60669) = ( 60665 × 60669) / 1
LCM(60665,60669) = 3680484885 / 1
LCM(60665,60669) = 3680484885

Least Common Multiple (LCM) of 60665 and 60669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60665 and 60669. First we will calculate the prime factors of 60665 and 60669.

Prime Factorization of 60665

Prime factors of 60665 are 5, 11, 1103. Prime factorization of 60665 in exponential form is:

60665 = 51 × 111 × 11031

Prime Factorization of 60669

Prime factors of 60669 are 3, 7, 107. Prime factorization of 60669 in exponential form is:

60669 = 34 × 71 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 60665 and 60669.

LCM(60665,60669) = 51 × 111 × 11031 × 34 × 71 × 1071
LCM(60665,60669) = 3680484885