What is the Least Common Multiple of 90298 and 90306?
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 90298 and 90306 is 4077225594.
LCM(90298,90306) = 4077225594
Least Common Multiple of 90298 and 90306 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90298 and 90306, than apply into the LCM equation.
GCF(90298,90306) = 2
LCM(90298,90306) = ( 90298 × 90306) / 2
LCM(90298,90306) = 8154451188 / 2
LCM(90298,90306) = 4077225594
Least Common Multiple (LCM) of 90298 and 90306 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 90298 and 90306. First we will calculate the prime factors of 90298 and 90306.
Prime Factorization of 90298
Prime factors of 90298 are 2, 13, 23, 151. Prime factorization of 90298 in exponential form is:
90298 = 21 × 131 × 231 × 1511
Prime Factorization of 90306
Prime factors of 90306 are 2, 3, 29, 173. Prime factorization of 90306 in exponential form is:
90306 = 21 × 32 × 291 × 1731
Now multiplying the highest exponent prime factors to calculate the LCM of 90298 and 90306.
LCM(90298,90306) = 21 × 131 × 231 × 1511 × 32 × 291 × 1731
LCM(90298,90306) = 4077225594
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