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What is the Least Common Multiple of 93021 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 93021 and 93037 is 8654394777.

LCM(93021,93037) = 8654394777

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Least Common Multiple of 93021 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 93021 and 93037, than apply into the LCM equation.

GCF(93021,93037) = 1
LCM(93021,93037) = ( 93021 × 93037) / 1
LCM(93021,93037) = 8654394777 / 1
LCM(93021,93037) = 8654394777

Least Common Multiple (LCM) of 93021 and 93037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93021 and 93037. First we will calculate the prime factors of 93021 and 93037.

Prime Factorization of 93021

Prime factors of 93021 are 3, 101, 307. Prime factorization of 93021 in exponential form is:

93021 = 31 × 1011 × 3071

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 93021 and 93037.

LCM(93021,93037) = 31 × 1011 × 3071 × 71 × 132911
LCM(93021,93037) = 8654394777