What is the Least Common Multiple of 93137 and 93155?
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 93137 and 93155 is 8676177235.
LCM(93137,93155) = 8676177235
Least Common Multiple of 93137 and 93155 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93137 and 93155, than apply into the LCM equation.
GCF(93137,93155) = 1
LCM(93137,93155) = ( 93137 × 93155) / 1
LCM(93137,93155) = 8676177235 / 1
LCM(93137,93155) = 8676177235
Least Common Multiple (LCM) of 93137 and 93155 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93137 and 93155. First we will calculate the prime factors of 93137 and 93155.
Prime Factorization of 93137
Prime factors of 93137 are 11, 8467. Prime factorization of 93137 in exponential form is:
93137 = 111 × 84671
Prime Factorization of 93155
Prime factors of 93155 are 5, 31, 601. Prime factorization of 93155 in exponential form is:
93155 = 51 × 311 × 6011
Now multiplying the highest exponent prime factors to calculate the LCM of 93137 and 93155.
LCM(93137,93155) = 111 × 84671 × 51 × 311 × 6011
LCM(93137,93155) = 8676177235
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