What is the Least Common Multiple of 93910 and 93918?
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 93910 and 93918 is 4409919690.
LCM(93910,93918) = 4409919690
Least Common Multiple of 93910 and 93918 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93910 and 93918, than apply into the LCM equation.
GCF(93910,93918) = 2
LCM(93910,93918) = ( 93910 × 93918) / 2
LCM(93910,93918) = 8819839380 / 2
LCM(93910,93918) = 4409919690
Least Common Multiple (LCM) of 93910 and 93918 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93910 and 93918. First we will calculate the prime factors of 93910 and 93918.
Prime Factorization of 93910
Prime factors of 93910 are 2, 5, 9391. Prime factorization of 93910 in exponential form is:
93910 = 21 × 51 × 93911
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
Now multiplying the highest exponent prime factors to calculate the LCM of 93910 and 93918.
LCM(93910,93918) = 21 × 51 × 93911 × 31 × 111 × 14231
LCM(93910,93918) = 4409919690
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