What is the Least Common Multiple of 93026 and 93037?
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 93026 and 93037 is 8654859962.
LCM(93026,93037) = 8654859962
Least Common Multiple of 93026 and 93037 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93026 and 93037, than apply into the LCM equation.
GCF(93026,93037) = 1
LCM(93026,93037) = ( 93026 × 93037) / 1
LCM(93026,93037) = 8654859962 / 1
LCM(93026,93037) = 8654859962
Least Common Multiple (LCM) of 93026 and 93037 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93026 and 93037. First we will calculate the prime factors of 93026 and 93037.
Prime Factorization of 93026
Prime factors of 93026 are 2, 193, 241. Prime factorization of 93026 in exponential form is:
93026 = 21 × 1931 × 2411
Prime Factorization of 93037
Prime factors of 93037 are 7, 13291. Prime factorization of 93037 in exponential form is:
93037 = 71 × 132911
Now multiplying the highest exponent prime factors to calculate the LCM of 93026 and 93037.
LCM(93026,93037) = 21 × 1931 × 2411 × 71 × 132911
LCM(93026,93037) = 8654859962
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