What is the Least Common Multiple of 8609 and 8620?
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 8609 and 8620 is 74209580.
LCM(8609,8620) = 74209580
Least Common Multiple of 8609 and 8620 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8609 and 8620, than apply into the LCM equation.
GCF(8609,8620) = 1
LCM(8609,8620) = ( 8609 × 8620) / 1
LCM(8609,8620) = 74209580 / 1
LCM(8609,8620) = 74209580
Least Common Multiple (LCM) of 8609 and 8620 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8609 and 8620. First we will calculate the prime factors of 8609 and 8620.
Prime Factorization of 8609
Prime factors of 8609 are 8609. Prime factorization of 8609 in exponential form is:
8609 = 86091
Prime Factorization of 8620
Prime factors of 8620 are 2, 5, 431. Prime factorization of 8620 in exponential form is:
8620 = 22 × 51 × 4311
Now multiplying the highest exponent prime factors to calculate the LCM of 8609 and 8620.
LCM(8609,8620) = 86091 × 22 × 51 × 4311
LCM(8609,8620) = 74209580
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