What is the Least Common Multiple of 71032 and 71049?
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 71032 and 71049 is 5046752568.
LCM(71032,71049) = 5046752568
Least Common Multiple of 71032 and 71049 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71032 and 71049, than apply into the LCM equation.
GCF(71032,71049) = 1
LCM(71032,71049) = ( 71032 × 71049) / 1
LCM(71032,71049) = 5046752568 / 1
LCM(71032,71049) = 5046752568
Least Common Multiple (LCM) of 71032 and 71049 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 71032 and 71049. First we will calculate the prime factors of 71032 and 71049.
Prime Factorization of 71032
Prime factors of 71032 are 2, 13, 683. Prime factorization of 71032 in exponential form is:
71032 = 23 × 131 × 6831
Prime Factorization of 71049
Prime factors of 71049 are 3, 11, 2153. Prime factorization of 71049 in exponential form is:
71049 = 31 × 111 × 21531
Now multiplying the highest exponent prime factors to calculate the LCM of 71032 and 71049.
LCM(71032,71049) = 23 × 131 × 6831 × 31 × 111 × 21531
LCM(71032,71049) = 5046752568
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