What is the Least Common Multiple of 64253 and 64266?
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 64253 and 64266 is 4129283298.
LCM(64253,64266) = 4129283298
Least Common Multiple of 64253 and 64266 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64253 and 64266, than apply into the LCM equation.
GCF(64253,64266) = 1
LCM(64253,64266) = ( 64253 × 64266) / 1
LCM(64253,64266) = 4129283298 / 1
LCM(64253,64266) = 4129283298
Least Common Multiple (LCM) of 64253 and 64266 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64253 and 64266. First we will calculate the prime factors of 64253 and 64266.
Prime Factorization of 64253
Prime factors of 64253 are 7, 67, 137. Prime factorization of 64253 in exponential form is:
64253 = 71 × 671 × 1371
Prime Factorization of 64266
Prime factors of 64266 are 2, 3, 10711. Prime factorization of 64266 in exponential form is:
64266 = 21 × 31 × 107111
Now multiplying the highest exponent prime factors to calculate the LCM of 64253 and 64266.
LCM(64253,64266) = 71 × 671 × 1371 × 21 × 31 × 107111
LCM(64253,64266) = 4129283298
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