What is the Least Common Multiple of 38011 and 38030?
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 38011 and 38030 is 1445558330.
LCM(38011,38030) = 1445558330
Least Common Multiple of 38011 and 38030 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38011 and 38030, than apply into the LCM equation.
GCF(38011,38030) = 1
LCM(38011,38030) = ( 38011 × 38030) / 1
LCM(38011,38030) = 1445558330 / 1
LCM(38011,38030) = 1445558330
Least Common Multiple (LCM) of 38011 and 38030 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 38011 and 38030. First we will calculate the prime factors of 38011 and 38030.
Prime Factorization of 38011
Prime factors of 38011 are 38011. Prime factorization of 38011 in exponential form is:
38011 = 380111
Prime Factorization of 38030
Prime factors of 38030 are 2, 5, 3803. Prime factorization of 38030 in exponential form is:
38030 = 21 × 51 × 38031
Now multiplying the highest exponent prime factors to calculate the LCM of 38011 and 38030.
LCM(38011,38030) = 380111 × 21 × 51 × 38031
LCM(38011,38030) = 1445558330
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