What is the Least Common Multiple of 39013 and 39030?
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 39013 and 39030 is 1522677390.
LCM(39013,39030) = 1522677390
Least Common Multiple of 39013 and 39030 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39013 and 39030, than apply into the LCM equation.
GCF(39013,39030) = 1
LCM(39013,39030) = ( 39013 × 39030) / 1
LCM(39013,39030) = 1522677390 / 1
LCM(39013,39030) = 1522677390
Least Common Multiple (LCM) of 39013 and 39030 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 39013 and 39030. First we will calculate the prime factors of 39013 and 39030.
Prime Factorization of 39013
Prime factors of 39013 are 13, 3001. Prime factorization of 39013 in exponential form is:
39013 = 131 × 30011
Prime Factorization of 39030
Prime factors of 39030 are 2, 3, 5, 1301. Prime factorization of 39030 in exponential form is:
39030 = 21 × 31 × 51 × 13011
Now multiplying the highest exponent prime factors to calculate the LCM of 39013 and 39030.
LCM(39013,39030) = 131 × 30011 × 21 × 31 × 51 × 13011
LCM(39013,39030) = 1522677390
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