What is the Least Common Multiple of 87387 and 87397?
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 87387 and 87397 is 7637361639.
LCM(87387,87397) = 7637361639
Least Common Multiple of 87387 and 87397 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87387 and 87397, than apply into the LCM equation.
GCF(87387,87397) = 1
LCM(87387,87397) = ( 87387 × 87397) / 1
LCM(87387,87397) = 7637361639 / 1
LCM(87387,87397) = 7637361639
Least Common Multiple (LCM) of 87387 and 87397 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 87387 and 87397. First we will calculate the prime factors of 87387 and 87397.
Prime Factorization of 87387
Prime factors of 87387 are 3, 29129. Prime factorization of 87387 in exponential form is:
87387 = 31 × 291291
Prime Factorization of 87397
Prime factors of 87397 are 17, 53, 97. Prime factorization of 87397 in exponential form is:
87397 = 171 × 531 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 87387 and 87397.
LCM(87387,87397) = 31 × 291291 × 171 × 531 × 971
LCM(87387,87397) = 7637361639
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