What is the Least Common Multiple of 71509 and 71523?
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 71509 and 71523 is 5114538207.
LCM(71509,71523) = 5114538207
Least Common Multiple of 71509 and 71523 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71509 and 71523, than apply into the LCM equation.
GCF(71509,71523) = 1
LCM(71509,71523) = ( 71509 × 71523) / 1
LCM(71509,71523) = 5114538207 / 1
LCM(71509,71523) = 5114538207
Least Common Multiple (LCM) of 71509 and 71523 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 71509 and 71523. First we will calculate the prime factors of 71509 and 71523.
Prime Factorization of 71509
Prime factors of 71509 are 43, 1663. Prime factorization of 71509 in exponential form is:
71509 = 431 × 16631
Prime Factorization of 71523
Prime factors of 71523 are 3, 883. Prime factorization of 71523 in exponential form is:
71523 = 34 × 8831
Now multiplying the highest exponent prime factors to calculate the LCM of 71509 and 71523.
LCM(71509,71523) = 431 × 16631 × 34 × 8831
LCM(71509,71523) = 5114538207
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