What is the Least Common Multiple of 78443 and 78461?

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 78443 and 78461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78443 and 78461, than apply into the LCM equation.

GCF(78443,78461) = 1
LCM(78443,78461) = ( 78443 × 78461) / 1
LCM(78443,78461) = 6154716223 / 1
LCM(78443,78461) = 6154716223

Least Common Multiple (LCM) of 78443 and 78461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78443 and 78461. First we will calculate the prime factors of 78443 and 78461.

Prime Factorization of 78443

Prime Factorization of 78461

Now multiplying the highest exponent prime factors to calculate the LCM of 78443 and 78461.

LCM(78443,78461) = 47¹ × 1669¹ × 31¹ × 2531¹
LCM(78443,78461) = 6154716223