What is the Least Common Multiple of 93924 and 93937?
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 93924 and 93937 is 8822938788.
LCM(93924,93937) = 8822938788
Least Common Multiple of 93924 and 93937 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93924 and 93937, than apply into the LCM equation.
GCF(93924,93937) = 1
LCM(93924,93937) = ( 93924 × 93937) / 1
LCM(93924,93937) = 8822938788 / 1
LCM(93924,93937) = 8822938788
Least Common Multiple (LCM) of 93924 and 93937 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93924 and 93937. First we will calculate the prime factors of 93924 and 93937.
Prime Factorization of 93924
Prime factors of 93924 are 2, 3, 2609. Prime factorization of 93924 in exponential form is:
93924 = 22 × 32 × 26091
Prime Factorization of 93937
Prime factors of 93937 are 93937. Prime factorization of 93937 in exponential form is:
93937 = 939371
Now multiplying the highest exponent prime factors to calculate the LCM of 93924 and 93937.
LCM(93924,93937) = 22 × 32 × 26091 × 939371
LCM(93924,93937) = 8822938788
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