What is the Least Common Multiple of 33610 and 33628?
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 33610 and 33628 is 565118540.
LCM(33610,33628) = 565118540
Least Common Multiple of 33610 and 33628 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33610 and 33628, than apply into the LCM equation.
GCF(33610,33628) = 2
LCM(33610,33628) = ( 33610 × 33628) / 2
LCM(33610,33628) = 1130237080 / 2
LCM(33610,33628) = 565118540
Least Common Multiple (LCM) of 33610 and 33628 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 33610 and 33628. First we will calculate the prime factors of 33610 and 33628.
Prime Factorization of 33610
Prime factors of 33610 are 2, 5, 3361. Prime factorization of 33610 in exponential form is:
33610 = 21 × 51 × 33611
Prime Factorization of 33628
Prime factors of 33628 are 2, 7, 1201. Prime factorization of 33628 in exponential form is:
33628 = 22 × 71 × 12011
Now multiplying the highest exponent prime factors to calculate the LCM of 33610 and 33628.
LCM(33610,33628) = 22 × 51 × 33611 × 71 × 12011
LCM(33610,33628) = 565118540
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