What is the Least Common Multiple of 93286 and 93290?
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 93286 and 93290 is 4351325470.
LCM(93286,93290) = 4351325470
Least Common Multiple of 93286 and 93290 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93286 and 93290, than apply into the LCM equation.
GCF(93286,93290) = 2
LCM(93286,93290) = ( 93286 × 93290) / 2
LCM(93286,93290) = 8702650940 / 2
LCM(93286,93290) = 4351325470
Least Common Multiple (LCM) of 93286 and 93290 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93286 and 93290. First we will calculate the prime factors of 93286 and 93290.
Prime Factorization of 93286
Prime factors of 93286 are 2, 46643. Prime factorization of 93286 in exponential form is:
93286 = 21 × 466431
Prime Factorization of 93290
Prime factors of 93290 are 2, 5, 19, 491. Prime factorization of 93290 in exponential form is:
93290 = 21 × 51 × 191 × 4911
Now multiplying the highest exponent prime factors to calculate the LCM of 93286 and 93290.
LCM(93286,93290) = 21 × 466431 × 51 × 191 × 4911
LCM(93286,93290) = 4351325470
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