What is the Least Common Multiple of 64840 and 64855?
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 64840 and 64855 is 841039640.
LCM(64840,64855) = 841039640
Least Common Multiple of 64840 and 64855 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64840 and 64855, than apply into the LCM equation.
GCF(64840,64855) = 5
LCM(64840,64855) = ( 64840 × 64855) / 5
LCM(64840,64855) = 4205198200 / 5
LCM(64840,64855) = 841039640
Least Common Multiple (LCM) of 64840 and 64855 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64840 and 64855. First we will calculate the prime factors of 64840 and 64855.
Prime Factorization of 64840
Prime factors of 64840 are 2, 5, 1621. Prime factorization of 64840 in exponential form is:
64840 = 23 × 51 × 16211
Prime Factorization of 64855
Prime factors of 64855 are 5, 7, 17, 109. Prime factorization of 64855 in exponential form is:
64855 = 51 × 71 × 171 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 64840 and 64855.
LCM(64840,64855) = 23 × 51 × 16211 × 71 × 171 × 1091
LCM(64840,64855) = 841039640
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