What is the Least Common Multiple of 73785 and 73791?

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 of 73785 and 73791 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73785 and 73791, than apply into the LCM equation.

GCF(73785,73791) = 3
LCM(73785,73791) = ( 73785 × 73791) / 3
LCM(73785,73791) = 5444668935 / 3
LCM(73785,73791) = 1814889645

Least Common Multiple (LCM) of 73785 and 73791 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73785 and 73791. First we will calculate the prime factors of 73785 and 73791.

Prime Factorization of 73785

Prime Factorization of 73791

Now multiplying the highest exponent prime factors to calculate the LCM of 73785 and 73791.

LCM(73785,73791) = 3⁴ × 5¹ × 4919¹ × 911¹
LCM(73785,73791) = 1814889645