What is the Least Common Multiple of 39203 and 39216?
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 39203 and 39216 is 1537384848.
LCM(39203,39216) = 1537384848
Least Common Multiple of 39203 and 39216 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39203 and 39216, than apply into the LCM equation.
GCF(39203,39216) = 1
LCM(39203,39216) = ( 39203 × 39216) / 1
LCM(39203,39216) = 1537384848 / 1
LCM(39203,39216) = 1537384848
Least Common Multiple (LCM) of 39203 and 39216 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 39203 and 39216. First we will calculate the prime factors of 39203 and 39216.
Prime Factorization of 39203
Prime factors of 39203 are 197, 199. Prime factorization of 39203 in exponential form is:
39203 = 1971 × 1991
Prime Factorization of 39216
Prime factors of 39216 are 2, 3, 19, 43. Prime factorization of 39216 in exponential form is:
39216 = 24 × 31 × 191 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 39203 and 39216.
LCM(39203,39216) = 1971 × 1991 × 24 × 31 × 191 × 431
LCM(39203,39216) = 1537384848
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