What is the Least Common Multiple of 71006 and 71020?
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 71006 and 71020 is 2521423060.
LCM(71006,71020) = 2521423060
Least Common Multiple of 71006 and 71020 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71006 and 71020, than apply into the LCM equation.
GCF(71006,71020) = 2
LCM(71006,71020) = ( 71006 × 71020) / 2
LCM(71006,71020) = 5042846120 / 2
LCM(71006,71020) = 2521423060
Least Common Multiple (LCM) of 71006 and 71020 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 71006 and 71020. First we will calculate the prime factors of 71006 and 71020.
Prime Factorization of 71006
Prime factors of 71006 are 2, 13, 2731. Prime factorization of 71006 in exponential form is:
71006 = 21 × 131 × 27311
Prime Factorization of 71020
Prime factors of 71020 are 2, 5, 53, 67. Prime factorization of 71020 in exponential form is:
71020 = 22 × 51 × 531 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 71006 and 71020.
LCM(71006,71020) = 22 × 131 × 27311 × 51 × 531 × 671
LCM(71006,71020) = 2521423060
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