What is the Least Common Multiple of 64856 and 64865?
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 64865 is 4206884440.
LCM(64856,64865) = 4206884440
Least Common Multiple of 64856 and 64865 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 64865, than apply into the LCM equation.
GCF(64856,64865) = 1
LCM(64856,64865) = ( 64856 × 64865) / 1
LCM(64856,64865) = 4206884440 / 1
LCM(64856,64865) = 4206884440
Least Common Multiple (LCM) of 64856 and 64865 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64856 and 64865. First we will calculate the prime factors of 64856 and 64865.
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 64865
Prime factors of 64865 are 5, 12973. Prime factorization of 64865 in exponential form is:
64865 = 51 × 129731
Now multiplying the highest exponent prime factors to calculate the LCM of 64856 and 64865.
LCM(64856,64865) = 23 × 112 × 671 × 51 × 129731
LCM(64856,64865) = 4206884440
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