What is the Least Common Multiple of 88844 and 88863?
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 88844 and 88863 is 415523388.
LCM(88844,88863) = 415523388
Least Common Multiple of 88844 and 88863 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88844 and 88863, than apply into the LCM equation.
GCF(88844,88863) = 19
LCM(88844,88863) = ( 88844 × 88863) / 19
LCM(88844,88863) = 7894944372 / 19
LCM(88844,88863) = 415523388
Least Common Multiple (LCM) of 88844 and 88863 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88844 and 88863. First we will calculate the prime factors of 88844 and 88863.
Prime Factorization of 88844
Prime factors of 88844 are 2, 7, 19, 167. Prime factorization of 88844 in exponential form is:
88844 = 22 × 71 × 191 × 1671
Prime Factorization of 88863
Prime factors of 88863 are 3, 19, 1559. Prime factorization of 88863 in exponential form is:
88863 = 31 × 191 × 15591
Now multiplying the highest exponent prime factors to calculate the LCM of 88844 and 88863.
LCM(88844,88863) = 22 × 71 × 191 × 1671 × 31 × 15591
LCM(88844,88863) = 415523388
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