What is the Least Common Multiple of 71975 and 71987?
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 71975 and 71987 is 5181264325.
LCM(71975,71987) = 5181264325
Least Common Multiple of 71975 and 71987 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71975 and 71987, than apply into the LCM equation.
GCF(71975,71987) = 1
LCM(71975,71987) = ( 71975 × 71987) / 1
LCM(71975,71987) = 5181264325 / 1
LCM(71975,71987) = 5181264325
Least Common Multiple (LCM) of 71975 and 71987 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 71975 and 71987. First we will calculate the prime factors of 71975 and 71987.
Prime Factorization of 71975
Prime factors of 71975 are 5, 2879. Prime factorization of 71975 in exponential form is:
71975 = 52 × 28791
Prime Factorization of 71987
Prime factors of 71987 are 71987. Prime factorization of 71987 in exponential form is:
71987 = 719871
Now multiplying the highest exponent prime factors to calculate the LCM of 71975 and 71987.
LCM(71975,71987) = 52 × 28791 × 719871
LCM(71975,71987) = 5181264325
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