What is the Least Common Multiple of 765 and 783?

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 765 and 783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 765 and 783, than apply into the LCM equation.

GCF(765,783) = 9
LCM(765,783) = ( 765 × 783) / 9
LCM(765,783) = 598995 / 9
LCM(765,783) = 66555

Least Common Multiple (LCM) of 765 and 783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 765 and 783. First we will calculate the prime factors of 765 and 783.

Prime Factorization of 765

Prime Factorization of 783

Now multiplying the highest exponent prime factors to calculate the LCM of 765 and 783.

LCM(765,783) = 3³ × 5¹ × 17¹ × 29¹
LCM(765,783) = 66555