What is the Least Common Multiple of 73414 and 73422?

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 73414 and 73422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73414 and 73422, than apply into the LCM equation.

GCF(73414,73422) = 2
LCM(73414,73422) = ( 73414 × 73422) / 2
LCM(73414,73422) = 5390202708 / 2
LCM(73414,73422) = 2695101354

Least Common Multiple (LCM) of 73414 and 73422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73414 and 73422. First we will calculate the prime factors of 73414 and 73422.

Prime Factorization of 73414

Prime Factorization of 73422

Now multiplying the highest exponent prime factors to calculate the LCM of 73414 and 73422.

LCM(73414,73422) = 2¹ × 11¹ × 47¹ × 71¹ × 3² × 4079¹
LCM(73414,73422) = 2695101354