What is the Least Common Multiple of 71061 and 71081?
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 71061 and 71081 is 5051086941.
LCM(71061,71081) = 5051086941
Least Common Multiple of 71061 and 71081 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71061 and 71081, than apply into the LCM equation.
GCF(71061,71081) = 1
LCM(71061,71081) = ( 71061 × 71081) / 1
LCM(71061,71081) = 5051086941 / 1
LCM(71061,71081) = 5051086941
Least Common Multiple (LCM) of 71061 and 71081 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 71061 and 71081. First we will calculate the prime factors of 71061 and 71081.
Prime Factorization of 71061
Prime factors of 71061 are 3, 23687. Prime factorization of 71061 in exponential form is:
71061 = 31 × 236871
Prime Factorization of 71081
Prime factors of 71081 are 71081. Prime factorization of 71081 in exponential form is:
71081 = 710811
Now multiplying the highest exponent prime factors to calculate the LCM of 71061 and 71081.
LCM(71061,71081) = 31 × 236871 × 710811
LCM(71061,71081) = 5051086941
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