What is the Least Common Multiple of 88669 and 88673?
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 88669 and 88673 is 7862546237.
LCM(88669,88673) = 7862546237
Least Common Multiple of 88669 and 88673 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88669 and 88673, than apply into the LCM equation.
GCF(88669,88673) = 1
LCM(88669,88673) = ( 88669 × 88673) / 1
LCM(88669,88673) = 7862546237 / 1
LCM(88669,88673) = 7862546237
Least Common Multiple (LCM) of 88669 and 88673 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88669 and 88673. First we will calculate the prime factors of 88669 and 88673.
Prime Factorization of 88669
Prime factors of 88669 are 7, 53, 239. Prime factorization of 88669 in exponential form is:
88669 = 71 × 531 × 2391
Prime Factorization of 88673
Prime factors of 88673 are 13, 19, 359. Prime factorization of 88673 in exponential form is:
88673 = 131 × 191 × 3591
Now multiplying the highest exponent prime factors to calculate the LCM of 88669 and 88673.
LCM(88669,88673) = 71 × 531 × 2391 × 131 × 191 × 3591
LCM(88669,88673) = 7862546237
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