What is the Least Common Multiple of 88861 and 88874?
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 88861 and 88874 is 7897432514.
LCM(88861,88874) = 7897432514
Least Common Multiple of 88861 and 88874 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88861 and 88874, than apply into the LCM equation.
GCF(88861,88874) = 1
LCM(88861,88874) = ( 88861 × 88874) / 1
LCM(88861,88874) = 7897432514 / 1
LCM(88861,88874) = 7897432514
Least Common Multiple (LCM) of 88861 and 88874 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88861 and 88874. First we will calculate the prime factors of 88861 and 88874.
Prime Factorization of 88861
Prime factors of 88861 are 88861. Prime factorization of 88861 in exponential form is:
88861 = 888611
Prime Factorization of 88874
Prime factors of 88874 are 2, 37, 1201. Prime factorization of 88874 in exponential form is:
88874 = 21 × 371 × 12011
Now multiplying the highest exponent prime factors to calculate the LCM of 88861 and 88874.
LCM(88861,88874) = 888611 × 21 × 371 × 12011
LCM(88861,88874) = 7897432514
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