What is the Least Common Multiple of 64061 and 64066?
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 64061 and 64066 is 4104132026.
LCM(64061,64066) = 4104132026
Least Common Multiple of 64061 and 64066 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64061 and 64066, than apply into the LCM equation.
GCF(64061,64066) = 1
LCM(64061,64066) = ( 64061 × 64066) / 1
LCM(64061,64066) = 4104132026 / 1
LCM(64061,64066) = 4104132026
Least Common Multiple (LCM) of 64061 and 64066 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64061 and 64066. First we will calculate the prime factors of 64061 and 64066.
Prime Factorization of 64061
Prime factors of 64061 are 29, 47. Prime factorization of 64061 in exponential form is:
64061 = 291 × 472
Prime Factorization of 64066
Prime factors of 64066 are 2, 103, 311. Prime factorization of 64066 in exponential form is:
64066 = 21 × 1031 × 3111
Now multiplying the highest exponent prime factors to calculate the LCM of 64061 and 64066.
LCM(64061,64066) = 291 × 472 × 21 × 1031 × 3111
LCM(64061,64066) = 4104132026
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