What is the Least Common Multiple of 88831 and 88850?
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 88831 and 88850 is 7892634350.
LCM(88831,88850) = 7892634350
Least Common Multiple of 88831 and 88850 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88831 and 88850, than apply into the LCM equation.
GCF(88831,88850) = 1
LCM(88831,88850) = ( 88831 × 88850) / 1
LCM(88831,88850) = 7892634350 / 1
LCM(88831,88850) = 7892634350
Least Common Multiple (LCM) of 88831 and 88850 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88831 and 88850. First we will calculate the prime factors of 88831 and 88850.
Prime Factorization of 88831
Prime factors of 88831 are 211, 421. Prime factorization of 88831 in exponential form is:
88831 = 2111 × 4211
Prime Factorization of 88850
Prime factors of 88850 are 2, 5, 1777. Prime factorization of 88850 in exponential form is:
88850 = 21 × 52 × 17771
Now multiplying the highest exponent prime factors to calculate the LCM of 88831 and 88850.
LCM(88831,88850) = 2111 × 4211 × 21 × 52 × 17771
LCM(88831,88850) = 7892634350
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