What is the Least Common Multiple of 64011 and 64025?
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 64011 and 64025 is 4098304275.
LCM(64011,64025) = 4098304275
Least Common Multiple of 64011 and 64025 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64011 and 64025, than apply into the LCM equation.
GCF(64011,64025) = 1
LCM(64011,64025) = ( 64011 × 64025) / 1
LCM(64011,64025) = 4098304275 / 1
LCM(64011,64025) = 4098304275
Least Common Multiple (LCM) of 64011 and 64025 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64011 and 64025. First we will calculate the prime factors of 64011 and 64025.
Prime Factorization of 64011
Prime factors of 64011 are 3, 19, 1123. Prime factorization of 64011 in exponential form is:
64011 = 31 × 191 × 11231
Prime Factorization of 64025
Prime factors of 64025 are 5, 13, 197. Prime factorization of 64025 in exponential form is:
64025 = 52 × 131 × 1971
Now multiplying the highest exponent prime factors to calculate the LCM of 64011 and 64025.
LCM(64011,64025) = 31 × 191 × 11231 × 52 × 131 × 1971
LCM(64011,64025) = 4098304275
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