What is the Least Common Multiple of 71051 and 71061?
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 71051 and 71061 is 5048955111.
LCM(71051,71061) = 5048955111
Least Common Multiple of 71051 and 71061 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71051 and 71061, than apply into the LCM equation.
GCF(71051,71061) = 1
LCM(71051,71061) = ( 71051 × 71061) / 1
LCM(71051,71061) = 5048955111 / 1
LCM(71051,71061) = 5048955111
Least Common Multiple (LCM) of 71051 and 71061 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 71051 and 71061. First we will calculate the prime factors of 71051 and 71061.
Prime Factorization of 71051
Prime factors of 71051 are 227, 313. Prime factorization of 71051 in exponential form is:
71051 = 2271 × 3131
Prime Factorization of 71061
Prime factors of 71061 are 3, 23687. Prime factorization of 71061 in exponential form is:
71061 = 31 × 236871
Now multiplying the highest exponent prime factors to calculate the LCM of 71051 and 71061.
LCM(71051,71061) = 2271 × 3131 × 31 × 236871
LCM(71051,71061) = 5048955111
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