What is the Least Common Multiple of 88826 and 88844?
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 88826 and 88844 is 3945828572.
LCM(88826,88844) = 3945828572
Least Common Multiple of 88826 and 88844 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88826 and 88844, than apply into the LCM equation.
GCF(88826,88844) = 2
LCM(88826,88844) = ( 88826 × 88844) / 2
LCM(88826,88844) = 7891657144 / 2
LCM(88826,88844) = 3945828572
Least Common Multiple (LCM) of 88826 and 88844 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88826 and 88844. First we will calculate the prime factors of 88826 and 88844.
Prime Factorization of 88826
Prime factors of 88826 are 2, 23, 1931. Prime factorization of 88826 in exponential form is:
88826 = 21 × 231 × 19311
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
Now multiplying the highest exponent prime factors to calculate the LCM of 88826 and 88844.
LCM(88826,88844) = 22 × 231 × 19311 × 71 × 191 × 1671
LCM(88826,88844) = 3945828572
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