What is the Least Common Multiple of 93937 and 93954?
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 93937 and 93954 is 8825756898.
LCM(93937,93954) = 8825756898
Least Common Multiple of 93937 and 93954 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93937 and 93954, than apply into the LCM equation.
GCF(93937,93954) = 1
LCM(93937,93954) = ( 93937 × 93954) / 1
LCM(93937,93954) = 8825756898 / 1
LCM(93937,93954) = 8825756898
Least Common Multiple (LCM) of 93937 and 93954 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93937 and 93954. First we will calculate the prime factors of 93937 and 93954.
Prime Factorization of 93937
Prime factors of 93937 are 93937. Prime factorization of 93937 in exponential form is:
93937 = 939371
Prime Factorization of 93954
Prime factors of 93954 are 2, 3, 7, 2237. Prime factorization of 93954 in exponential form is:
93954 = 21 × 31 × 71 × 22371
Now multiplying the highest exponent prime factors to calculate the LCM of 93937 and 93954.
LCM(93937,93954) = 939371 × 21 × 31 × 71 × 22371
LCM(93937,93954) = 8825756898
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