What is the Least Common Multiple of 64874 and 64883?
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 64874 and 64883 is 4209219742.
LCM(64874,64883) = 4209219742
Least Common Multiple of 64874 and 64883 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64874 and 64883, than apply into the LCM equation.
GCF(64874,64883) = 1
LCM(64874,64883) = ( 64874 × 64883) / 1
LCM(64874,64883) = 4209219742 / 1
LCM(64874,64883) = 4209219742
Least Common Multiple (LCM) of 64874 and 64883 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64874 and 64883. First we will calculate the prime factors of 64874 and 64883.
Prime Factorization of 64874
Prime factors of 64874 are 2, 163, 199. Prime factorization of 64874 in exponential form is:
64874 = 21 × 1631 × 1991
Prime Factorization of 64883
Prime factors of 64883 are 7, 13, 23, 31. Prime factorization of 64883 in exponential form is:
64883 = 71 × 131 × 231 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 64874 and 64883.
LCM(64874,64883) = 21 × 1631 × 1991 × 71 × 131 × 231 × 311
LCM(64874,64883) = 4209219742
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