What is the Least Common Multiple of 64856 and 64869?
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 64856 and 64869 is 4207143864.
LCM(64856,64869) = 4207143864
Least Common Multiple of 64856 and 64869 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64856 and 64869, than apply into the LCM equation.
GCF(64856,64869) = 1
LCM(64856,64869) = ( 64856 × 64869) / 1
LCM(64856,64869) = 4207143864 / 1
LCM(64856,64869) = 4207143864
Least Common Multiple (LCM) of 64856 and 64869 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64856 and 64869. First we will calculate the prime factors of 64856 and 64869.
Prime Factorization of 64856
Prime factors of 64856 are 2, 11, 67. Prime factorization of 64856 in exponential form is:
64856 = 23 × 112 × 671
Prime Factorization of 64869
Prime factors of 64869 are 3, 7, 3089. Prime factorization of 64869 in exponential form is:
64869 = 31 × 71 × 30891
Now multiplying the highest exponent prime factors to calculate the LCM of 64856 and 64869.
LCM(64856,64869) = 23 × 112 × 671 × 31 × 71 × 30891
LCM(64856,64869) = 4207143864
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