What is the Least Common Multiple of 88575 and 88582?
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 88575 and 88582 is 7846150650.
LCM(88575,88582) = 7846150650
Least Common Multiple of 88575 and 88582 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88575 and 88582, than apply into the LCM equation.
GCF(88575,88582) = 1
LCM(88575,88582) = ( 88575 × 88582) / 1
LCM(88575,88582) = 7846150650 / 1
LCM(88575,88582) = 7846150650
Least Common Multiple (LCM) of 88575 and 88582 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88575 and 88582. First we will calculate the prime factors of 88575 and 88582.
Prime Factorization of 88575
Prime factors of 88575 are 3, 5, 1181. Prime factorization of 88575 in exponential form is:
88575 = 31 × 52 × 11811
Prime Factorization of 88582
Prime factors of 88582 are 2, 13, 3407. Prime factorization of 88582 in exponential form is:
88582 = 21 × 131 × 34071
Now multiplying the highest exponent prime factors to calculate the LCM of 88575 and 88582.
LCM(88575,88582) = 31 × 52 × 11811 × 21 × 131 × 34071
LCM(88575,88582) = 7846150650
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