What is the Least Common Multiple of 38240 and 38251?
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 38240 and 38251 is 1462718240.
LCM(38240,38251) = 1462718240
Least Common Multiple of 38240 and 38251 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38240 and 38251, than apply into the LCM equation.
GCF(38240,38251) = 1
LCM(38240,38251) = ( 38240 × 38251) / 1
LCM(38240,38251) = 1462718240 / 1
LCM(38240,38251) = 1462718240
Least Common Multiple (LCM) of 38240 and 38251 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 38240 and 38251. First we will calculate the prime factors of 38240 and 38251.
Prime Factorization of 38240
Prime factors of 38240 are 2, 5, 239. Prime factorization of 38240 in exponential form is:
38240 = 25 × 51 × 2391
Prime Factorization of 38251
Prime factors of 38251 are 29, 1319. Prime factorization of 38251 in exponential form is:
38251 = 291 × 13191
Now multiplying the highest exponent prime factors to calculate the LCM of 38240 and 38251.
LCM(38240,38251) = 25 × 51 × 2391 × 291 × 13191
LCM(38240,38251) = 1462718240
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