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
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
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