What is the Least Common Multiple of 93918 and 93922?
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 93918 and 93922 is 4410483198.
LCM(93918,93922) = 4410483198
Least Common Multiple of 93918 and 93922 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93918 and 93922, than apply into the LCM equation.
GCF(93918,93922) = 2
LCM(93918,93922) = ( 93918 × 93922) / 2
LCM(93918,93922) = 8820966396 / 2
LCM(93918,93922) = 4410483198
Least Common Multiple (LCM) of 93918 and 93922 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93918 and 93922. First we will calculate the prime factors of 93918 and 93922.
Prime Factorization of 93918
Prime factors of 93918 are 2, 3, 11, 1423. Prime factorization of 93918 in exponential form is:
93918 = 21 × 31 × 111 × 14231
Prime Factorization of 93922
Prime factors of 93922 are 2, 151, 311. Prime factorization of 93922 in exponential form is:
93922 = 21 × 1511 × 3111
Now multiplying the highest exponent prime factors to calculate the LCM of 93918 and 93922.
LCM(93918,93922) = 21 × 31 × 111 × 14231 × 1511 × 3111
LCM(93918,93922) = 4410483198
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