What is the Least Common Multiple of 64655 and 64659?
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 64655 and 64659 is 4180527645.
LCM(64655,64659) = 4180527645
Least Common Multiple of 64655 and 64659 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64655 and 64659, than apply into the LCM equation.
GCF(64655,64659) = 1
LCM(64655,64659) = ( 64655 × 64659) / 1
LCM(64655,64659) = 4180527645 / 1
LCM(64655,64659) = 4180527645
Least Common Multiple (LCM) of 64655 and 64659 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64655 and 64659. First we will calculate the prime factors of 64655 and 64659.
Prime Factorization of 64655
Prime factors of 64655 are 5, 67, 193. Prime factorization of 64655 in exponential form is:
64655 = 51 × 671 × 1931
Prime Factorization of 64659
Prime factors of 64659 are 3, 7, 3079. Prime factorization of 64659 in exponential form is:
64659 = 31 × 71 × 30791
Now multiplying the highest exponent prime factors to calculate the LCM of 64655 and 64659.
LCM(64655,64659) = 51 × 671 × 1931 × 31 × 71 × 30791
LCM(64655,64659) = 4180527645
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