What is the Least Common Multiple of 90689 and 90694?
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 90689 and 90694 is 8224948166.
LCM(90689,90694) = 8224948166
Least Common Multiple of 90689 and 90694 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90689 and 90694, than apply into the LCM equation.
GCF(90689,90694) = 1
LCM(90689,90694) = ( 90689 × 90694) / 1
LCM(90689,90694) = 8224948166 / 1
LCM(90689,90694) = 8224948166
Least Common Multiple (LCM) of 90689 and 90694 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 90689 and 90694. First we will calculate the prime factors of 90689 and 90694.
Prime Factorization of 90689
Prime factors of 90689 are 23, 3943. Prime factorization of 90689 in exponential form is:
90689 = 231 × 39431
Prime Factorization of 90694
Prime factors of 90694 are 2, 137, 331. Prime factorization of 90694 in exponential form is:
90694 = 21 × 1371 × 3311
Now multiplying the highest exponent prime factors to calculate the LCM of 90689 and 90694.
LCM(90689,90694) = 231 × 39431 × 21 × 1371 × 3311
LCM(90689,90694) = 8224948166
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