What is the Least Common Multiple of 780 and 795?
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 780 and 795 is 41340.
LCM(780,795) = 41340
Least Common Multiple of 780 and 795 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 780 and 795, than apply into the LCM equation.
GCF(780,795) = 15
LCM(780,795) = ( 780 × 795) / 15
LCM(780,795) = 620100 / 15
LCM(780,795) = 41340
Least Common Multiple (LCM) of 780 and 795 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 780 and 795. First we will calculate the prime factors of 780 and 795.
Prime Factorization of 780
Prime factors of 780 are 2, 3, 5, 13. Prime factorization of 780 in exponential form is:
780 = 22 × 31 × 51 × 131
Prime Factorization of 795
Prime factors of 795 are 3, 5, 53. Prime factorization of 795 in exponential form is:
795 = 31 × 51 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 780 and 795.
LCM(780,795) = 22 × 31 × 51 × 131 × 531
LCM(780,795) = 41340
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