What is the Least Common Multiple of 93096 and 93110?
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 93096 and 93110 is 4334084280.
LCM(93096,93110) = 4334084280
Least Common Multiple of 93096 and 93110 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93096 and 93110, than apply into the LCM equation.
GCF(93096,93110) = 2
LCM(93096,93110) = ( 93096 × 93110) / 2
LCM(93096,93110) = 8668168560 / 2
LCM(93096,93110) = 4334084280
Least Common Multiple (LCM) of 93096 and 93110 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93096 and 93110. First we will calculate the prime factors of 93096 and 93110.
Prime Factorization of 93096
Prime factors of 93096 are 2, 3, 431. Prime factorization of 93096 in exponential form is:
93096 = 23 × 33 × 4311
Prime Factorization of 93110
Prime factors of 93110 are 2, 5, 9311. Prime factorization of 93110 in exponential form is:
93110 = 21 × 51 × 93111
Now multiplying the highest exponent prime factors to calculate the LCM of 93096 and 93110.
LCM(93096,93110) = 23 × 33 × 4311 × 51 × 93111
LCM(93096,93110) = 4334084280
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