What is the Least Common Multiple of 64839 and 64856?
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 64839 and 64856 is 4205198184.
LCM(64839,64856) = 4205198184
Least Common Multiple of 64839 and 64856 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64839 and 64856, than apply into the LCM equation.
GCF(64839,64856) = 1
LCM(64839,64856) = ( 64839 × 64856) / 1
LCM(64839,64856) = 4205198184 / 1
LCM(64839,64856) = 4205198184
Least Common Multiple (LCM) of 64839 and 64856 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64839 and 64856. First we will calculate the prime factors of 64839 and 64856.
Prime Factorization of 64839
Prime factors of 64839 are 3, 21613. Prime factorization of 64839 in exponential form is:
64839 = 31 × 216131
Prime Factorization of 64856
Prime factors of 64856 are 2, 11, 67. Prime factorization of 64856 in exponential form is:
64856 = 23 × 112 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 64839 and 64856.
LCM(64839,64856) = 31 × 216131 × 23 × 112 × 671
LCM(64839,64856) = 4205198184
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