What is the Least Common Multiple of 87239 and 87247?
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 87239 and 87247 is 7611341033.
LCM(87239,87247) = 7611341033
Least Common Multiple of 87239 and 87247 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87239 and 87247, than apply into the LCM equation.
GCF(87239,87247) = 1
LCM(87239,87247) = ( 87239 × 87247) / 1
LCM(87239,87247) = 7611341033 / 1
LCM(87239,87247) = 7611341033
Least Common Multiple (LCM) of 87239 and 87247 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 87239 and 87247. First we will calculate the prime factors of 87239 and 87247.
Prime Factorization of 87239
Prime factors of 87239 are 23, 3793. Prime factorization of 87239 in exponential form is:
87239 = 231 × 37931
Prime Factorization of 87247
Prime factors of 87247 are 43, 2029. Prime factorization of 87247 in exponential form is:
87247 = 431 × 20291
Now multiplying the highest exponent prime factors to calculate the LCM of 87239 and 87247.
LCM(87239,87247) = 231 × 37931 × 431 × 20291
LCM(87239,87247) = 7611341033
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