What is the Least Common Multiple of 89586 and 89594?
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 89586 and 89594 is 4013184042.
LCM(89586,89594) = 4013184042
Least Common Multiple of 89586 and 89594 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89586 and 89594, than apply into the LCM equation.
GCF(89586,89594) = 2
LCM(89586,89594) = ( 89586 × 89594) / 2
LCM(89586,89594) = 8026368084 / 2
LCM(89586,89594) = 4013184042
Least Common Multiple (LCM) of 89586 and 89594 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 89586 and 89594. First we will calculate the prime factors of 89586 and 89594.
Prime Factorization of 89586
Prime factors of 89586 are 2, 3, 7, 79. Prime factorization of 89586 in exponential form is:
89586 = 21 × 34 × 71 × 791
Prime Factorization of 89594
Prime factors of 89594 are 2, 44797. Prime factorization of 89594 in exponential form is:
89594 = 21 × 447971
Now multiplying the highest exponent prime factors to calculate the LCM of 89586 and 89594.
LCM(89586,89594) = 21 × 34 × 71 × 791 × 447971
LCM(89586,89594) = 4013184042
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