What is the Least Common Multiple of 78513 and 78532?

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 78513 and 78532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78513 and 78532, than apply into the LCM equation.

GCF(78513,78532) = 1
LCM(78513,78532) = ( 78513 × 78532) / 1
LCM(78513,78532) = 6165782916 / 1
LCM(78513,78532) = 6165782916

Least Common Multiple (LCM) of 78513 and 78532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78513 and 78532. First we will calculate the prime factors of 78513 and 78532.

Prime Factorization of 78513

Prime Factorization of 78532

Now multiplying the highest exponent prime factors to calculate the LCM of 78513 and 78532.

LCM(78513,78532) = 3¹ × 26171¹ × 2² × 29¹ × 677¹
LCM(78513,78532) = 6165782916