What is the Least Common Multiple of 38769 and 38775?

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 38769 and 38775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38769 and 38775, than apply into the LCM equation.

GCF(38769,38775) = 3
LCM(38769,38775) = ( 38769 × 38775) / 3
LCM(38769,38775) = 1503267975 / 3
LCM(38769,38775) = 501089325

Least Common Multiple (LCM) of 38769 and 38775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38769 and 38775. First we will calculate the prime factors of 38769 and 38775.

Prime Factorization of 38769

Prime Factorization of 38775

Now multiplying the highest exponent prime factors to calculate the LCM of 38769 and 38775.

LCM(38769,38775) = 3¹ × 12923¹ × 5² × 11¹ × 47¹
LCM(38769,38775) = 501089325