What is the Least Common Multiple of 65660 and 65665?
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 65660 and 65665 is 862312780.
LCM(65660,65665) = 862312780
Least Common Multiple of 65660 and 65665 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65660 and 65665, than apply into the LCM equation.
GCF(65660,65665) = 5
LCM(65660,65665) = ( 65660 × 65665) / 5
LCM(65660,65665) = 4311563900 / 5
LCM(65660,65665) = 862312780
Least Common Multiple (LCM) of 65660 and 65665 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65660 and 65665. First we will calculate the prime factors of 65660 and 65665.
Prime Factorization of 65660
Prime factors of 65660 are 2, 5, 7, 67. Prime factorization of 65660 in exponential form is:
65660 = 22 × 51 × 72 × 671
Prime Factorization of 65665
Prime factors of 65665 are 5, 23, 571. Prime factorization of 65665 in exponential form is:
65665 = 51 × 231 × 5711
Now multiplying the highest exponent prime factors to calculate the LCM of 65660 and 65665.
LCM(65660,65665) = 22 × 51 × 72 × 671 × 231 × 5711
LCM(65660,65665) = 862312780
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