What is the Least Common Multiple of 785 and 794?
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 785 and 794 is 623290.
LCM(785,794) = 623290
Least Common Multiple of 785 and 794 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 785 and 794, than apply into the LCM equation.
GCF(785,794) = 1
LCM(785,794) = ( 785 × 794) / 1
LCM(785,794) = 623290 / 1
LCM(785,794) = 623290
Least Common Multiple (LCM) of 785 and 794 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 785 and 794. First we will calculate the prime factors of 785 and 794.
Prime Factorization of 785
Prime factors of 785 are 5, 157. Prime factorization of 785 in exponential form is:
785 = 51 × 1571
Prime Factorization of 794
Prime factors of 794 are 2, 397. Prime factorization of 794 in exponential form is:
794 = 21 × 3971
Now multiplying the highest exponent prime factors to calculate the LCM of 785 and 794.
LCM(785,794) = 51 × 1571 × 21 × 3971
LCM(785,794) = 623290
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