What is the Least Common Multiple of 73414 and 73419?

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 73419 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 73419, than apply into the LCM equation.

GCF(73414,73419) = 1
LCM(73414,73419) = ( 73414 × 73419) / 1
LCM(73414,73419) = 5389982466 / 1
LCM(73414,73419) = 5389982466

Least Common Multiple (LCM) of 73414 and 73419 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73414 and 73419. First we will calculate the prime factors of 73414 and 73419.

Prime Factorization of 73414

Prime Factorization of 73419

Now multiplying the highest exponent prime factors to calculate the LCM of 73414 and 73419.

LCM(73414,73419) = 2¹ × 11¹ × 47¹ × 71¹ × 3¹ × 24473¹
LCM(73414,73419) = 5389982466