What is the Least Common Multiple of 77094 and 77099?

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 77094 and 77099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77094 and 77099, than apply into the LCM equation.

GCF(77094,77099) = 1
LCM(77094,77099) = ( 77094 × 77099) / 1
LCM(77094,77099) = 5943870306 / 1
LCM(77094,77099) = 5943870306

Least Common Multiple (LCM) of 77094 and 77099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77094 and 77099. First we will calculate the prime factors of 77094 and 77099.

Prime Factorization of 77094

Prime Factorization of 77099

Now multiplying the highest exponent prime factors to calculate the LCM of 77094 and 77099.

LCM(77094,77099) = 2¹ × 3² × 4283¹ × 11¹ × 43¹ × 163¹
LCM(77094,77099) = 5943870306