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What is the Least Common Multiple of 60650 and 60665?

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 60650 and 60665 is 735866450.

LCM(60650,60665) = 735866450

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Least Common Multiple of 60650 and 60665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60650 and 60665, than apply into the LCM equation.

GCF(60650,60665) = 5
LCM(60650,60665) = ( 60650 × 60665) / 5
LCM(60650,60665) = 3679332250 / 5
LCM(60650,60665) = 735866450

Least Common Multiple (LCM) of 60650 and 60665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60650 and 60665. First we will calculate the prime factors of 60650 and 60665.

Prime Factorization of 60650

Prime factors of 60650 are 2, 5, 1213. Prime factorization of 60650 in exponential form is:

60650 = 21 × 52 × 12131

Prime Factorization of 60665

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

60665 = 51 × 111 × 11031

Now multiplying the highest exponent prime factors to calculate the LCM of 60650 and 60665.

LCM(60650,60665) = 21 × 52 × 12131 × 111 × 11031
LCM(60650,60665) = 735866450