What is the Least Common Multiple of 38362 and 38373?
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 38373 is 1472065026.
LCM(38362,38373) = 1472065026
Least Common Multiple of 38362 and 38373 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 38373, than apply into the LCM equation.
GCF(38362,38373) = 1
LCM(38362,38373) = ( 38362 × 38373) / 1
LCM(38362,38373) = 1472065026 / 1
LCM(38362,38373) = 1472065026
Least Common Multiple (LCM) of 38362 and 38373 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 38362 and 38373. First we will calculate the prime factors of 38362 and 38373.
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 38373
Prime factors of 38373 are 3, 12791. Prime factorization of 38373 in exponential form is:
38373 = 31 × 127911
Now multiplying the highest exponent prime factors to calculate the LCM of 38362 and 38373.
LCM(38362,38373) = 21 × 191811 × 31 × 127911
LCM(38362,38373) = 1472065026
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