What is the Least Common Multiple of 38791 and 38811?
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 38791 and 38811 is 1505517501.
LCM(38791,38811) = 1505517501
Least Common Multiple of 38791 and 38811 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38791 and 38811, than apply into the LCM equation.
GCF(38791,38811) = 1
LCM(38791,38811) = ( 38791 × 38811) / 1
LCM(38791,38811) = 1505517501 / 1
LCM(38791,38811) = 1505517501
Least Common Multiple (LCM) of 38791 and 38811 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 38791 and 38811. First we will calculate the prime factors of 38791 and 38811.
Prime Factorization of 38791
Prime factors of 38791 are 38791. Prime factorization of 38791 in exponential form is:
38791 = 387911
Prime Factorization of 38811
Prime factors of 38811 are 3, 17, 761. Prime factorization of 38811 in exponential form is:
38811 = 31 × 171 × 7611
Now multiplying the highest exponent prime factors to calculate the LCM of 38791 and 38811.
LCM(38791,38811) = 387911 × 31 × 171 × 7611
LCM(38791,38811) = 1505517501
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