What is the Least Common Multiple of 38362 and 38371?
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 38362 and 38371 is 1471988302.
LCM(38362,38371) = 1471988302
Least Common Multiple of 38362 and 38371 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38362 and 38371, than apply into the LCM equation.
GCF(38362,38371) = 1
LCM(38362,38371) = ( 38362 × 38371) / 1
LCM(38362,38371) = 1471988302 / 1
LCM(38362,38371) = 1471988302
Least Common Multiple (LCM) of 38362 and 38371 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 38362 and 38371. First we will calculate the prime factors of 38362 and 38371.
Prime Factorization of 38362
Prime factors of 38362 are 2, 19181. Prime factorization of 38362 in exponential form is:
38362 = 21 × 191811
Prime Factorization of 38371
Prime factors of 38371 are 38371. Prime factorization of 38371 in exponential form is:
38371 = 383711
Now multiplying the highest exponent prime factors to calculate the LCM of 38362 and 38371.
LCM(38362,38371) = 21 × 191811 × 383711
LCM(38362,38371) = 1471988302
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