What is the Least Common Multiple of 87307 and 87323?
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 87307 and 87323 is 7623909161.
LCM(87307,87323) = 7623909161
Least Common Multiple of 87307 and 87323 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87307 and 87323, than apply into the LCM equation.
GCF(87307,87323) = 1
LCM(87307,87323) = ( 87307 × 87323) / 1
LCM(87307,87323) = 7623909161 / 1
LCM(87307,87323) = 7623909161
Least Common Multiple (LCM) of 87307 and 87323 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 87307 and 87323. First we will calculate the prime factors of 87307 and 87323.
Prime Factorization of 87307
Prime factors of 87307 are 11, 7937. Prime factorization of 87307 in exponential form is:
87307 = 111 × 79371
Prime Factorization of 87323
Prime factors of 87323 are 87323. Prime factorization of 87323 in exponential form is:
87323 = 873231
Now multiplying the highest exponent prime factors to calculate the LCM of 87307 and 87323.
LCM(87307,87323) = 111 × 79371 × 873231
LCM(87307,87323) = 7623909161
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