What is the Least Common Multiple of 87161 and 87166?
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 87161 and 87166 is 7597475726.
LCM(87161,87166) = 7597475726
Least Common Multiple of 87161 and 87166 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87161 and 87166, than apply into the LCM equation.
GCF(87161,87166) = 1
LCM(87161,87166) = ( 87161 × 87166) / 1
LCM(87161,87166) = 7597475726 / 1
LCM(87161,87166) = 7597475726
Least Common Multiple (LCM) of 87161 and 87166 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 87161 and 87166. First we will calculate the prime factors of 87161 and 87166.
Prime Factorization of 87161
Prime factors of 87161 are 43, 2027. Prime factorization of 87161 in exponential form is:
87161 = 431 × 20271
Prime Factorization of 87166
Prime factors of 87166 are 2, 41, 1063. Prime factorization of 87166 in exponential form is:
87166 = 21 × 411 × 10631
Now multiplying the highest exponent prime factors to calculate the LCM of 87161 and 87166.
LCM(87161,87166) = 431 × 20271 × 21 × 411 × 10631
LCM(87161,87166) = 7597475726
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