What is the Least Common Multiple of 78446 and 78457?

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 78446 and 78457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78446 and 78457, than apply into the LCM equation.

GCF(78446,78457) = 1
LCM(78446,78457) = ( 78446 × 78457) / 1
LCM(78446,78457) = 6154637822 / 1
LCM(78446,78457) = 6154637822

Least Common Multiple (LCM) of 78446 and 78457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78446 and 78457. First we will calculate the prime factors of 78446 and 78457.

Prime Factorization of 78446

Prime Factorization of 78457

Now multiplying the highest exponent prime factors to calculate the LCM of 78446 and 78457.

LCM(78446,78457) = 2¹ × 61¹ × 643¹ × 67¹ × 1171¹
LCM(78446,78457) = 6154637822