What is the Least Common Multiple of 89643 and 89654?
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 89643 and 89654 is 8036853522.
LCM(89643,89654) = 8036853522
Least Common Multiple of 89643 and 89654 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89643 and 89654, than apply into the LCM equation.
GCF(89643,89654) = 1
LCM(89643,89654) = ( 89643 × 89654) / 1
LCM(89643,89654) = 8036853522 / 1
LCM(89643,89654) = 8036853522
Least Common Multiple (LCM) of 89643 and 89654 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 89643 and 89654. First we will calculate the prime factors of 89643 and 89654.
Prime Factorization of 89643
Prime factors of 89643 are 3, 29881. Prime factorization of 89643 in exponential form is:
89643 = 31 × 298811
Prime Factorization of 89654
Prime factors of 89654 are 2, 23, 1949. Prime factorization of 89654 in exponential form is:
89654 = 21 × 231 × 19491
Now multiplying the highest exponent prime factors to calculate the LCM of 89643 and 89654.
LCM(89643,89654) = 31 × 298811 × 21 × 231 × 19491
LCM(89643,89654) = 8036853522
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