What is the Least Common Multiple of 87667 and 87671?
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 87667 and 87671 is 7685853557.
LCM(87667,87671) = 7685853557
Least Common Multiple of 87667 and 87671 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87667 and 87671, than apply into the LCM equation.
GCF(87667,87671) = 1
LCM(87667,87671) = ( 87667 × 87671) / 1
LCM(87667,87671) = 7685853557 / 1
LCM(87667,87671) = 7685853557
Least Common Multiple (LCM) of 87667 and 87671 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 87667 and 87671. First we will calculate the prime factors of 87667 and 87671.
Prime Factorization of 87667
Prime factors of 87667 are 29, 3023. Prime factorization of 87667 in exponential form is:
87667 = 291 × 30231
Prime Factorization of 87671
Prime factors of 87671 are 87671. Prime factorization of 87671 in exponential form is:
87671 = 876711
Now multiplying the highest exponent prime factors to calculate the LCM of 87667 and 87671.
LCM(87667,87671) = 291 × 30231 × 876711
LCM(87667,87671) = 7685853557
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