What is the Least Common Multiple of 38769 and 38783?

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 38783 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 38783, than apply into the LCM equation.

GCF(38769,38783) = 1
LCM(38769,38783) = ( 38769 × 38783) / 1
LCM(38769,38783) = 1503578127 / 1
LCM(38769,38783) = 1503578127

Least Common Multiple (LCM) of 38769 and 38783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38769 and 38783. First we will calculate the prime factors of 38769 and 38783.

Prime Factorization of 38769

Prime Factorization of 38783

Now multiplying the highest exponent prime factors to calculate the LCM of 38769 and 38783.

LCM(38769,38783) = 3¹ × 12923¹ × 38783¹
LCM(38769,38783) = 1503578127