What is the Least Common Multiple of 18922 and 18931?
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 18922 and 18931 is 358212382.
LCM(18922,18931) = 358212382
Least Common Multiple of 18922 and 18931 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18922 and 18931, than apply into the LCM equation.
GCF(18922,18931) = 1
LCM(18922,18931) = ( 18922 × 18931) / 1
LCM(18922,18931) = 358212382 / 1
LCM(18922,18931) = 358212382
Least Common Multiple (LCM) of 18922 and 18931 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18922 and 18931. First we will calculate the prime factors of 18922 and 18931.
Prime Factorization of 18922
Prime factors of 18922 are 2, 9461. Prime factorization of 18922 in exponential form is:
18922 = 21 × 94611
Prime Factorization of 18931
Prime factors of 18931 are 11, 1721. Prime factorization of 18931 in exponential form is:
18931 = 111 × 17211
Now multiplying the highest exponent prime factors to calculate the LCM of 18922 and 18931.
LCM(18922,18931) = 21 × 94611 × 111 × 17211
LCM(18922,18931) = 358212382
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