What is the Least Common Multiple of 93037 and 93056?
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 93037 and 93056 is 8657651072.
LCM(93037,93056) = 8657651072
Least Common Multiple of 93037 and 93056 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93037 and 93056, than apply into the LCM equation.
GCF(93037,93056) = 1
LCM(93037,93056) = ( 93037 × 93056) / 1
LCM(93037,93056) = 8657651072 / 1
LCM(93037,93056) = 8657651072
Least Common Multiple (LCM) of 93037 and 93056 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93037 and 93056. First we will calculate the prime factors of 93037 and 93056.
Prime Factorization of 93037
Prime factors of 93037 are 7, 13291. Prime factorization of 93037 in exponential form is:
93037 = 71 × 132911
Prime Factorization of 93056
Prime factors of 93056 are 2, 727. Prime factorization of 93056 in exponential form is:
93056 = 27 × 7271
Now multiplying the highest exponent prime factors to calculate the LCM of 93037 and 93056.
LCM(93037,93056) = 71 × 132911 × 27 × 7271
LCM(93037,93056) = 8657651072
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