What is the Least Common Multiple of 64859 and 64874?
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 64859 and 64874 is 4207662766.
LCM(64859,64874) = 4207662766
Least Common Multiple of 64859 and 64874 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64859 and 64874, than apply into the LCM equation.
GCF(64859,64874) = 1
LCM(64859,64874) = ( 64859 × 64874) / 1
LCM(64859,64874) = 4207662766 / 1
LCM(64859,64874) = 4207662766
Least Common Multiple (LCM) of 64859 and 64874 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64859 and 64874. First we will calculate the prime factors of 64859 and 64874.
Prime Factorization of 64859
Prime factors of 64859 are 79, 821. Prime factorization of 64859 in exponential form is:
64859 = 791 × 8211
Prime Factorization of 64874
Prime factors of 64874 are 2, 163, 199. Prime factorization of 64874 in exponential form is:
64874 = 21 × 1631 × 1991
Now multiplying the highest exponent prime factors to calculate the LCM of 64859 and 64874.
LCM(64859,64874) = 791 × 8211 × 21 × 1631 × 1991
LCM(64859,64874) = 4207662766
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